Publications
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Publications 2017
350. T. Mansour and M. Shattuck, Bargraph statistics on words and set partitions, Journal Difference Equations and Applications 23:6 (2017) 1025--1046.
349. D. Callan and T. Mansour, On permutations avoiding 1243, 2134, and another 4-letter pattern, Pure Mathematics and Applications 26:1 (2017) 11--21.
348. D. Callan and T. Mansour, On permutations avoiding 1324, 2143, and another 4-letter pattern, Pure Mathematics and Applications 26:1 (2017) 1--10.
347. T. Kim, T. Mansour and S.-H. Rim, Symmetric identities for the full degenerate Bernoulli polynomials and degenerate Euler polynomials under symmetric group of degree n, Utilitas Mathematica 103 (2017) 61--72.
346. A. Blecher, C. Brennan, A. Knopfmacher, and T. Mansour, The perimeter of words, Discrete Mathematics 340:10 (2017) 2456-2465.
345. T. Mansour and M. Shattuck, Nine classes of permutations enumerated by binomial transform of Fine's sequence, Discrete Applied Mathematics 226 (2017) 94--105.
344. A. Blecher, C. Brennan, A. Knopfmacher and T. Mansour, The site-perimeter of words, Transactions on Combinatorics 6:2 (2017) 37--48.
343. T. Mansour and M. Shattuck, A monotonicity property for generalized Fibonacci sequences, Mathematica Slovaca 67:3 (2017) 585--592.
342. T. Mansour and M. Shattuck, Avoidance of type (1,2) patterns by Catalan words, Turkish Journal of Analysis and Number Theory 5:3 (2017) 101--116.
341. D.S. Kim, T. Kim, H.-I. Kwon, G.W. Jang and T. Mansour, A generalization of symmetric property beyond Appell polynomials, Proceedings of the Jangjeon Mathematical Society 20:2 (2017) 145--152.
340. T. Mansour and M. Shattuck, Counting rises and levels in r-color compositions, Proceedings Mathematical Sciences 127:2 (2017) 203--217.
339. M. Archibald, A. Blecher, C. Brennan, A. Knopfmacher, and T. Mansour, Shedding light on words, Applicable Analysis and Discrete Mathematics 11 (2017) 216--231.
338. D. Callan, T. Mansour and M. Shattuck, Wilf classification of triples of 4-letter patterns II, Discrete Mathematics & Theoretical Computer Science 19:1 (2017) #6.
337. D. Callan, T. Mansour and M. Shattuck, Wilf classification of triples of 4-letter patterns I, Discrete Mathematics & Theoretical Computer Science 19:1 (2017) #5.
336. O. Herscovici and T. Mansour, Tsallis p,q-deformed Touchard polynomials and Stirling numbers, Russian Journal of Mathematical Physics 24:1 (2017) 37--50.
335. T. Mansour and M. Shattuck, Avoidance of Classical Patterns by Catalan Sequences, FILOMAT 31:3 (2017) 543--558.
334. G.-W. Jang, D.S. Kim, T. Kim and T. Mansour, Fourier series of functions related to Bernoulli polynomials, Advanced Studies in Contemporary Mathematics 27:1 (2017) 49--62.
333. F. Caravelli, T. Mansour, L. Sindoni, S. Severini, Erratum to: On moments of the integrated exponential Brownian motion, The European Physical Journal Plus 132 (2017) Article 59.
332. T. Mansour, M.A. Rostami, E. Suresh and G.B.A. Xavier, Correcting a paper on Randic and geometric-arithmetic index, Turkish Journal of Mathematics 41 (2017) 27--32.
331. J.L. Gross, T. Mansour, T.W. Tucker, Valence-partitioned genus polynomials and their application to generalized dipoles, The Australasian Journal of Combinatorics 67:2 (2017) 203--221, Issue in memory of Dan Archdeacon.
330. D. Callan and T. Mansour, A Wilf class composed of 7 symmetry classes of triples of 4-letter patterns, Journal of Analysis & Number Theory An International Journal 5:1 (2017) 19--26.
329. A. Asinowski, C. Krattenthaler and T. Mansour, Counting triangulations of balanced subdivisions of convex polygons, European Journal of Combinatorics 62 (2017) 92--114.
328. T. Mansour, J.L. Ramirez and M. Shattuck, A generalization of the r-Whitney numbers of the second kind, Journal of Combinatorics 8:1 (2017) 29--55.
327. D.S. Kim, T. Kim, H.I. Kwon and T. Mansour, Barnes-type degenerate Bernoulli and Euler mixed-type polynomials, Journal of Computational Analysis and Applications 22:7 (2017) 1273--1287.
326. D.S. Kim, T. Kim, H.I. Kwon and T. Mansour, Korobov polynomials of the seventh kind and of the eighth kind, Journal of Computational Analysis and Applications 22:5 (2017) 812--824.
Publications 2016
325. T. Mansour and A.Sh. Shabani , Counting occurrences of a pattern of length three with at most two distinct letters in a k-ary word, Journal of Automata, Languages and Combinatorics 21:3 (2016) 183--201.
324. T. Mansour and M. Schork, Wilf classification of subsets of eight and nine four-letter patterns, Journal of Combinatorics and Number Theory 8:3 (2016) 27pp.
323. T. Mansour and M. Shattuck, Counting subwords in flattened involutions and Kummer functions, Journal Difference Equations and Applications 22:10 (2016) 1404--1425.
322. O. Herscovici and T. Mansour, The Miki-type identity for the Apostol-Bernoulli numbers, Annales Mathematicae et Informaticae 46 (2016) 97--114.
321. O. Herscovici, T. Kim, T. Mansour and S.-H. Rim, Differential equations for p,q-Touchard polynomials, Open Mathematics 14 (2016) 908--912.
320. T. Mansour and M. Shattuck, Some monotonicity results related to the Fermat point of a triangle, Forum Geometricorum 16 (2016) 355--366.
319. D.S. Kim, T. Kim, H.I. Kwon and T. Mansour, Nonlinear differential equation for Korobov numbers, Advanced Studies in Contemporary Mathematics 26:4 (2016) 733--740.
318. A. Blecher and T. Mansour, Counting staircases in integer compositions, Online Analytical Journal of Combinatorics 11 (2016) #7 (10pp.).
317. D. Callan, S.-M. Ma and T. Mansour, Restricted Stirling permutations, Taiwanese Journal of Mathematics 20:5 (2016) 957--978.
316. M. Archibald, A. Blecher, C. Brennan, A. Knopfmacher and T. Mansour, Partitions according to multiplicities and part sizes, The Australasian Journal of Combinatorics 66(1) (2016) 104--119.
315. F. Caravelli, T. Mansour, L. Sindoni, S. Severini, On moments of the integrated exponential Brownian motion, The European Physical Journal Plus 131 (2016) Article 245, 10pp.
314. D.S. Kim, T. Kim, H.I. Kwon and T. Mansour, Korobov polynomials of the fifth kind and of the sixth kind, Kyungpook Mathematical Journal 56:2 (2016) 329--342.
313. T. Mansour and M. Schork, Wilf classification of subsets of four letter patterns, Journal of Combinatorics and Number Theory 8:1 (2016) 1--111.
312. T. Mansour and M. Shattuck, A statistic related to trees and words on a finite alphabet, Discrete Mathematics, Algorithms and Applications 8:2 (2016) 1650031, 13 Pages.
311. D.S. Kim, T. Kim and T. Mansour, Fully degenerate poly-Bernoulli polynomials with a q parameter, FILOMAT 30:4 (2016) 1029--1035.
310. J.L. Gross, T. Mansour, T.W. Tucker and D.G.L. Wang, Root geometry of polynomial sequences II: Type (1,0), Journal of Mathematical Analysis and Applications 441:2 (2016) 499--528.
309. S.-M. Ma and T. Mansour, Pattern restricted Stirling k-ary words, plateau statistic, and kernel method, Discrete Applied Mathematics 206 (2016) 100--108.
308. T. Mansour and M. Shattuck, Set partitions and $m$-excedances, Notes on Number Theory and Discrete Mathematics 22:1 (2016) 42--54.
307. D.S. Kim, T. Kim, T. Mansour and J.-J. Seo, Linear differential equations for families of polynomials, Journal of Inequalities and Applications 2016 (2016) Article 95, 8pp.
306. T. Mansour, M.A. Rostami, E. Suresh and G.B.A. Xavier, New sharp lower bounds for the first Zagreb index, Scientific Publications of the State University of Novi Pazar, Series A 8:1 (2016) 11--19.
305. D.S. Kim, T. Kim, H.I. Kwon and T. Mansour, Powers under umbral composition and degeneration for Sheffer sequences, Advances in Difference Equations 2016 (2016) Article 66.
304. T. Mansour and M. Shork, On a combinatorial problem in botanical epidemiology, Discrete Applied Mathematics 202 (2016) 131-150.
303. T. Mansour, M.A. Rostami, E. Suresh and G.B.A. Xavier, On the bounds of the first reformulated Zagreb index, Turkish Journal of Analysis and Number Theory 4:1 (2016) 8--15.
302. A. Blecher, C. Brennan, A. Knopfmacher and T. Mansour , Counting corners in partitions, The Ramanujan Journal 39:1 (2016) 201--224.
301. T. Mansour and M. Shattuck, Counting permutations by the number of successions within cycles, Discrete Mathematics 339 (2016) 1368--1376.
300. J.L. Gross, T. Mansour, T.W. Tucker and David G.L. Wang, Iterated Claws Have Real-Rooted Genus Polynomials, Ars Mathematica Contemporanea 10 (2016) 255--268.
299. D.S. Kim, T. Kim, T. Mansour and J.-J. Seo, Degenerate Mittag-Leffler polynomials, Applied Mathematics and Computation 274 (2016) 258--266.
298. D.V. Dolgy, D.S. Kim, T. Kim and T. Mansour, Degenerate Poly-Bernoulli polynomials of the second kind, Journal of Computational Analysis and Applications 21:5 (2016) 954--966.
297. J.L. Gross, T. Mansour, T.W. Tucker and David G.L. Wang, Combinatorial Conjectures that imply local log-concavity of graph genus distributions, European Journal of Combinatorics 52 (2016) 207--222.
296. J.L. Gross, T. Mansour, T.W. Tucker and David G.L. Wang, Root geometry of polynomial sequences I: Type (0,1), Journal of Mathematical Analysis and Applications 433 (2016) 1261--1289.
Publications 2015
295. T. Mansour and M. Shattuck, M. Shattuck, Pattern avoidance in inversion sequences, Pure Mathematics and Applications 25:2 (2015) 157--176.
294. D. Callan, T. Mansour and M. Shattuck, Some identities for derangement and Ward number sequences and related bijections, Pure Mathematics and Applications 25:2 (2015) 132--143.
293. T. Mansour and M. Schork, On some q-Pascal's like triangles, Notes on Number Theory and Discrete Mathematics 21:4 (2015) 64--69.
292. Y. Chen, J.L. Gross and T. Mansour, Log-concavity of genus distributions for circular ladders, Mathematische Nachrichten 288:17-18 (2015) 1952--1969.
291. A. Blecher, T. Mansour and A.O. Munagi, Some Parity statistics in integer partitions, Bulletin of the Polish Academy of Sciences Mathematics 63:2 (2015) 123--140.
290. W. Asakly and T. Mansour, Enumeration rises according to parity in compositions, Online Journal of Analytical Combinatorics 10 (2015), Article 5.
289. J.L. Gross, T. Mansour, T.W. Tucker and David G.L. Wang, Log-Concavity of the Genus Polynomials of Ringel Ladders, Electronic Journal of Graph Theory and Applications 3:2 (2015) 109--126.
288. E. Bagno, D. Garber, T. Mansour and R. Shwartz, Recursions for the flag-excedance number in colored permutation groups, Pure Mathematics and Applications 25:1 (2015) 1--18.
287. T. Mansour, q-Stern Polynomials as Numerators of Continued Fractions, Bulletin of the Polish Academy of Sciences Mathematics 63:1 (2015) 11--18.
286. T. Mansour and M. Shattuck, On avoidance of patterns of the form $\sigma-\tau$ by words over a finite alphabet, Discrete Mathematics and Theoretical Computer Science 17:2 (2015) 181--202.
285. E. Mphako-Banda and T. Mansour, Defect polynomials and Tutte polynomials of some asymmetric graphs, Turkish Journal of Mathematics 39 (2015) 706--718.
284. D.V. Dolgy, D.S. Kim, T. Kim, T. Mansour, Degenerate Poly-Cauchy polynomials, Applied Mathematics and Computation 269 (2015) 637--646.
283. T. Mansour and M. Shattuck, Generalized q-Calkin-Wilf trees and c-hyper m-expansions of an integer, Journal of Combinatorics and Number Theory 7:1 (2015) 12pp.
282. T. Mansour and M. Schork, On q-deformed generalized Touchard polynomials, Indagationes Mathematicae 26 (2015) 634--645.
281. D.S. Kim, T. Kim, H.I. Kwon and T. Mansour, Degenerate poly-Bernoulli polynomials with umbral calculus viewpoint, Journal of Inequalities and Applications 2015 (2015) Article 228.
280. J.S. Dowker and T. Mansour, Evaluation of spherical GJMS determinants, Journal of Geometry and Physics 97 (2015) 51--60.
279. Y.-K. Cho, T. Kim, T. Mansour and S.-H. Rim, On a (r,s)-analogue of Changhee and Daehee numbers and polynomials, Kyungpook Mathematical Journal 55 (2015) 225--232.
278. J.L. Gross, T. Mansour, T.W. Tucker and David G.L. Wang, Log-Concavity of combinations of sequences and applications to Genus distributions, SIAM Discrete Mathematics 29:2 (2015) 1002--1029.
277. T. Mansour, M. Shattuck and S. Wagner, Counting subwords in flattened partitions of sets, Discrete Mathematics 338:11 (2015) 1989--2005.
276. D. Callan, S.-M. Ma and T. Mansour, Some combinatorial arrays related to the Lotka-Volterra system, Electronic Journal of Combinatorics 22:2 (2015) Article 2.22.
275. D.V. Dolgy, D.S Kim, T. Kim and T. Mansour, Barnes-type Daehee with $\lambda$-parameter and degenerate Euler mixed-type polynomials, Journal of Inequalities and Applications 2015 (2015), Article 154.
274. T. Mansour and M. Shattuck, Ascent sequences and Fibonacci numbers, FILOMAT 29:4 (2015) 703--712.
273. D.V. Dolgy, D.S. Kim, T. Kim and T. Mansour, Barnes-type degenerate Euler polynomials, Applied Mathematics and Computation 261 (2015) 388-396.
272. S.-M. Ma and T. Mansour, The 1/k-Eulerian polynomials and k-Stirling permutations, Discrete Mathematics 338:8 (2015) 1468--1472.
271. D.V. Dolgy, D.S. Kim, T. Kim and T. Mansour, On Poly-Bernoulli polynomials of the second kind with umbral calculus viewpoint, Advances in Difference Equations 2015 (2015) Article 27 (13pp).
270. C.-O. Chow and T. Mansour, On the real-rootedness of generalized Touchard polynomials, Applied Mathematics and Computations 254 (2015) 204--209.
269. V. Krasniqi and T. Mansour, q-Bernstein functions and applications, Advanced Studies in Contemporary Mathematics 25:1 (2015) 75--83.
268. O. Herscovici and T. Mansour, Identities involving Touchard polynomials derived from umbral calculus, Advanced Studies in Contemporary Mathematics 25:1 (2015) 39--46.
267. T. Mansour and David G.L. Wang, On the 13-2 patterns in flattened permutations, Journal of Difference Equations and Applications 21:1 (2015) 16--36.
266. D.S. Kim, T. Kim, H.I. Kwon and T. Mansour, Barnes-type Narumi of the second kind and Poisson-Charlier mixed-type polynomials, Journal of Computational Analysis and Applications 19:5 (2015) 837--850.
265. T. Mansour and M. Shattuck, Some results on the avoidance of vincular patterns by multisets, Discrete Applied Mathematics 181 (2015) 201--208.
264. Y.-K. Cho, T. Kim, T. Mansour, and S.-H. Rim, Higher-Order q-Daehee Polynomials, Journal of Computational Analysis and Applications 19:1 (2015) 167--173.
263. J.H. Jin, T. Mansour, E.-J. Moon, J.-W. Park, On the (r,q)-Bernoullivand (r,q)-Euler numbers and polynomials, Journal of Computational Analysis and Applications 19:2 (2015) 250--259.
Publications 2014
262. J.-L. Baril, T. Mansour and A. Petrossian, Equivalence classes of permutations modulo excedances, Journal of Combinatorics 5:4 (2014) 453--469.
261. C.-O. Chow, S.-M. Ma, T. Mansour and M. Shattuck, Counting permutations by cyclic peaks and valleys, Annales Mathematicae et Informaticae 43 (2014) 43-54.
260. T. Kim and T. Mansour, Umbral calculus associated with Frobenius-type Eulerian polynomials, Russian Journal of Mathematical Physics 21:4 (2014) 484--493.
259. D.S. Kim, T. Kim and T. Mansour, Euler basis and the product of several Bernoulli and Euler polynomials, Advanced Studies in Contemporary Mathematics 24:4 (2014) 535--547.
258. D.S. Kim, T. Kim, H.I. Kwon and T. Mansour, Barnes-type Narumi of the first kind and poly-Cauchy of the first kind mixed-type polynomials, Advanced Studies in Theoretical Physics 8:22 (2014) 961--975.
257. T. Mansour and M. Shattuck, Chebyshev polynomials and statistics on a new collection of words in the Catalan family, Journal of Difference Equations and Applications 20:11 (2014) 1568-1582.
256. D. Callan, T. Mansour and M. Shattuck, Restricted ascent sequences and Catalan numbers, Applicable Analysis and Discrete Mathematics 8 (2014) 288--303.
255. D.S. Kim, T. Kim, H.I. Kwon, T. Mansour and J. Seo, Barnes-type Peters polynomial with umbral calculus viewpoint, Journal of Inequalities and Applications 2014 (2014):324 (16pp.).
254. J.L. Gross, T. Mansour and T.W. Tucker, Log-Concavity of the Genus Polynomials for a Sequence of Cubic Halin Graphs, Journal of Combinatorics 5:2 (2014) 203--233.
253. W.S. Chung, T. Kim and T. Mansour, The q-deformed Gamma function and q-deformed polygamma function, Bulletin of the Korean Mathematical Society 51:4 (2014) 1155--1161.
252. T. Mansour and M. Shattuck, Counting pairs of words according to the number of common rises, levels, and descents, Online Journal of Analytic Combinatorics 9 (2014) Article 4, 18pp.
251. T. Mansour and A. Munagi, Set partitions with circular successions, European Journal of Combinatorics 42 (2014) 207--216.
250. T. Mansour and M. Shattuck, On a recurrence related to 321-avoiding permutations, Notes on Number Theory and Discrete Mathematics 20:2 (2014) 74--78.
249. J.L. Gross, T. Mansour and T.W. Tucker, Log-concavity of genus distributions of ring-like families of graphs, European Journal of Combinatorics 42 (2014) 74--91.
248. E. Hatir , T. Mansour and I. Yalcinkaya, On a fuzzy difference equation, Utilitas Mathematica 93 (2014) 135--151.
247. S.-M. Ma, T. Mansour and M. Schork, Normal ordering problem and the extensions of the Stirling grammar, Russian Journal of Mathematical Physics 21:2 (2014) 242--255.
246. A. Asinowski, G. Barequet, T. Mansour and R. Pinter, Cut Equivalence of d-Dimensional Guillotine Partitions, Discrete Mathematics 331 (2014) 165--174.
245. T. Mansour and M. Shattuck, A statistic on n-color compositions and related sequences, Proceedings Mathematical Sciences 124:2 (2014) 127--140.
244. T. Mansour, M. Shattuck and M.C. Wilson, Congruence successions in compositions, Discrete Mathematics and Theoretical Computer Science 16:2 (2014) 327--338.
243. T. Mansour, H. Ozden and Y. Simsek, Modified Apostol-type polynomials arising from umbral calculus, Advanced Studies in Contemporary Mathematics 24:2 (2014) 175--182.
242. T. Kim, S.-H. Lee, T. Mansour and J.-J. Seo, A note on q-Daehee polynomials and numbers, Advanced Studies in Contemporary Mathematics 24:2 (2014) 155--160.
241. E. Bagno, D. Garber and T. Mansour, On the group of alternating colored permutations, Electronic Journal of Combinatorics 21(2) (2014) #P2.29.
240. T. Mansour and M. Shattuck, On the zeros of some combinatorial polynomials, Pure Mathematics and Applications 24:1 (2013) 31--45.
239. W. Asakly, A. Blecher, C. Brennan, A. Knopfmacher, T. Mansour and S. Wagner, Set partition asymptotics and a conjecture of Gould and Quaintance, Journal of Mathematical Analysis and Applications 416 (2014) 672--682.
238. W. Asakly and T. Mansour, Enumeration of compositions according to the sum of the values of the first letters of the occurrences of a $2$-letter pattern, Linear Algebera and its Application 449 (2014) 43--59.
237. T. Mansour and M. Shattuck, A q-analog of the hyperharmonic numbers, Afrika Mathematica 25 (2014) 147--160.
236. T. Kim, T. Mansour, S.-H. Rim and J.-J. Seo, A note on q-Changhee polynomials and numbers, Advanced Studies in Theoretical Physics 8:1 (2014) 35--41.
235. C. Banerji, T. Mansour and S. Severini, A notion of graph likelihood and an infinite monkey theorem, Journal of Physics A: Mathematical and Theoretical 47:3 (2014) Article 035101.
234. T. Mansour and M. Shattuck, Some enumerative results related to ascent sequences, Discrete Mathematics 315--316 (2014) 29--41.
233. T. Mansour, M. Shattuck and G. Wang, Recurrence relations for patterns of type (2,1) in flattened permutations, Journal of Difference Equations and Applications 20:1 (2014) 58--83.
Publications 2013
232. T. Mansour and M. Shattuck, Monotonicity properties concerning certain lengths within a triangle, Journal of Advanced Mathematics and Applications 2:1 (2013) 59--64.
231. C. Cinar, T. Mansour, and I. Yalcinkaya, On the difference equation of higher order, Utilitas Mathematica 92 (2013) 161--166.
230. T. Kim, T. Mansour, S.-H. Rim and S.-H. Lee, Apsotol-Euler polynomials arising from umbral calculus, Advances in Difference equations 2013 (2013):301 (7pp.).
229. C. Brennan, E. Mphako-Banda and T. Mansour, Tutte polynomials of wheels via generating functions, Bulletin of the Iranian Mathematical Society 39:5 (2013) 881--891.
228. N.L. Braha and T. Mansour, On $\Lambda^{2}$-strong convergence of numerical sequences and Fourier series, Acta Mathematica Hungarica 141(1-2) (2013) 113--126.
227. A. Blecher, C. Brennan and T. Mansour, Compositions of n as non-alternating sequences of partitions, Applicable Analysis and Discrete Mathematics 7 (2013) 211--224.
226. T. Mansour and M. Shattuck, Parity successions in set partitions, Linear Algebra and its Applications 439:9 (2013) 2642--2650.
225. T. Mansour, M. Shattuck and G. Wang, Counting subwords in flattened permutations, Journal of Combinatorics 4:3 (2013) 327--356.
224. T. Kim, D.S. Kim, T. Mansour, S.-H. Rim, and M. Schork, Umbral calculus and Sheffer sequences of polynomials, Journal of Mathematical Physics 54 (2013) 083504, 15pp.
223. Y. Chen, J.L. Gross and T. Mansour, Total embedding distributions of circular ladders, Journal Graph Theory 73:2 (2013) 32--57.
222. T. Mansour and M. Shattuck, Generalization of a statistic on linear domino arrangements, Online Journal of Analytic Combinatorics 8 (2013) Article 2 (16pp.).
221. T. Mansour and M. Shattuck, Free rises, restricted partitions, q-Fibonacci polynomials, Afrika Mathematica 24:3 (2013) 305--320.
220. T. Mansour, M. Shattuck and C. Song, A q-analog of a general rational sum identity, Afrika Mathematica 24:3 (2013) 297--303.
219. T. Mansour and V. Vajnovszki, Efficient generation of restricted growth words, Information Processing Letters 113:17 (2013) 613--616.
218. T. Mansour and M. Shattuck, Counting Humps and Peaks in Generalized Motzkin Paths, Discrete Applied Mathematics 161 (2013) 2213--2216.
217. T. Mansour and M. Shattuck, A combinatorial approach to a general two-term recurrence, Discrete Applied Mathematics 161 (2013) 2084--2094.
216. A. Asinowski, G. Barequet, M. Bousquet-M\'elou, T. Mansour, and R.Y. Pinter, Orders induced by segments in floorplan partitions and (2-14-3, 3-41-2)-avoiding permutations, Electronic Journal of Combinatorics 20:2 (2013) #P35 (43pp.)
215. T. Mansour and M. Schork, The generalized Touchard polynomials revisited, Applied Mathematics and Computation 219:19 (2013) 9978--9991.
214. Y. Chen, T. Mansour, and Q. Zou, Embedding distributions of generalized fan graphs, Canadian Mathematical Bulletin 56 (2013) 265--271.
213. T. Mansour and M. Shattuck, Polynomials whose coefficients are generalized Tribonacci numbers, Applied Mathematics and Computation 219 (2013) 8366--8374.
212. T. Mansour and M. Shattuck, Partial matchings and pattern avoidance, Applicable Analysis and Discrete Mathematics 7 (2013) 25--50.
211. W. Asakly, T. Mansour and M. Schork, Representing elements of the Weyl algebra by labeled trees, Journal of Mathematical Physics 54:2 (2013) 023514 (17pp.).
Publications 2012
210. V. Jelinek, T. Mansour and M. Shattuck, On multiple pattern avoiding set partitions, Advances in Applied Mathematics 50 (2012) 292--326.
209. T. Mansour and M. Schork, Generalized Bell numbers and algebraic differential equations, Pure Mathematics and Applications 23 (2012) 131--142.
208. T. Mansour and M. Shattuck, Generalizations of two statistics on linear tilings, Applications and Applied Mathematics: An International Journal 7:2 (2012) 508--533.
207. T. Mansour and M. Shattuck, Polynomials whose coefficients are k-Fibonacci numbers, Annales Mathematicae et Informaticae 40 (2012) 57--76.
206. T. Mansour, M. Shattuck and C. Song, Enumerating set partitions according to the number of descents of size d or more, Proceedings Mathematical Sciences 122:4 (2012) 507--517.
205. A. Knopfmacher and T. Mansour, Up-smooth samples of geometric variables, Journal of Combinatorial Mathematics and Combinatorial Computing 83 (2012) 51--63.
204. C.-O. Chow and T. Mansour, Asymptotic probability distributions of some permutation statistics for the wreath product Cr~ Sn, Online Analytic Journal of Combinatorics 7 (2012) Article #2 (14pp.).
203. T. Mansour and A. Sh. Shabani, Generalization of some inequalities for the (q1,...,qs)-Gamma function, Le Matematiche LXVII (2012) 119--130.
202. T. Mansour, M. Schork and M. Shattuck, The generalized Stirling and Bell numbers revisited, Journal of Integer Sequences 15 (2012) Article 12.8.3 (pp. 47).
201. T. Mansour and A. Munagi, Alternating Subsets Modulo m, Rocky Mountain Journal of Mathematics 42:4 (2012) 1313--1325.
200. Y. Chen, T. Mansour and Q. Zou, Embedding distributions and Chebyshev polynomials, Graphs and Combinatorics 28 (2012) 597--614.
199. T. Mansour, Identities on harmonic and q-harmonic number sums, Afrika Mathematica 23 (2012) 135--143.
198. T. Mansour and M. Shattuck, Improving upon a geometric inequality of third order, DForum Geometricorum 12 (2012) 227--235.
197. Y. Chen, J.L. Gross and T. Mansour, Genus distributions of star-ladders, Discrete Mathematics 312 (2012) 3059--3067.
196. T. Mansour, M. Schork and M. Shattuck, On the Stirling numbers associated with the meromorphic Weyl algebra, Applied Mathematics Letters 25 (2012) 1767--1771.
195. T. Mansour, M. Schork and M. Shattuck, Catalan numbers and pattern restricted set partitions, Discrete Mathematics 312 (2012) 2979--2991.
194. T. Mansour, M. Shattuck and C. Song, q-Analogs of identities involving harmonic numbers and binomial coefficients, Applications and Applied Mathematics: An International Journal 7:1 (2012) 22--36.
193. T. Mansour and M. Shattuck, Set partitions as geometric words, Australasian Journal of Combinatorics 53 (2012) 31--39.
192. Y.-C. Chen, T. Mansour and Q. Zou, On the complete monotonicity of quotient of Gamma functions, Mathematical Inequalities & Applications 15:2 (2012) 395-402.
191. M. Archibald, A. Knopfmacher and T. Mansour, Variation statistics on compositions, Fundamenta Informaticae 16 (2012) 1-17.
190. S.P. Jordan, T. Mansour and S. Seveini, On the degeneracy of SU(3)k topological phases, Russian Journal of Mathematical Physics 19:1 (2012) 21-26.
189. T. Mansour and M. Shattuck, Avoiding type (1,2) or (2,1) patterns in a partition of a set, Integers: Electronic Journal of Combinatorial Number Theory 12 (2012) #A20.
188 T. Mansour and M. Shattuck, Pattern avoiding set partitions and Catalan numbers, Electronic Journal of Combinatorics 18(2) (2012), #P34 (18pp.).
187. A. Knopfmacher and T. Mansour, Record statistics in a random composition, Discrete Applied Mathematics 160 (2012) 593-603.
186. T. Mansour and M. Shattuck, A combinatorial proof of a result for permutation pairs, Central European Journal of Mathematics 10(2) (2012) 797-806.
185. A. Blecher, C. Brennan and T. Mansour, Compositions of n as alternating sequences of weakly increasing and strictly decreasing partitions, Central European Journal of Mathematics 10(2) (2012) 788-796.
184. T. Mansour and M. Shattuck, Counting Dyck paths according to the maximum distance between peaks and valley, Journal of Integer Sequences 15 (2012) Article 12.1.1 (9pp.).
183. T. Mansour and C. Song, The a and (a, b)-analogs of Zagreb indices and coindices of graphs, International Journal of Combinatorics 2012 (2012) Article 909285 (10pp.).
182. T. Mansour, S. Mulay and M. Shattuck, A general two-term recurrence and its solution, European Journal of Combinatorics 33 (2012) 20--26.
Publications 2011
181. T. Mansour and M. Shattuck, Enumerating finite set partitions according to the number of connectors, Online Journal of Analytic Combinatorics 6 (2011) Article #3(17pp.).
180. T. Mansour and M. Shattuck, Restricted partitions and generalized Catalan numbers, Pure Mathematics and Applications: Algebra and Theoretical Computer Science 11:2 (2011) 239--251.
179. A. Knopfmacher, T. Mansour and A. Munagi, Smooth compositions and smooth words, Pure Mathematics and Applications: Algebra and Theoretical Computer Science 11:2 (2011) 209--226.
178. T. Mansour and M. Shattuck, Two further generalizations of the Calkin--Wilf tree, Journal of Combinatorics 2:4 (2011) 507-524.
177. T. Mansour and M. Shattuck, Pattern avoidance in flattened permutations, Pure Mathematics and Applications 22:1 (2011) 75-86.
176. T. Mansour and M. Shattuck, Pattern avoiding partitions, sequence A054391, and the kernel method, Applications and Applied Mathematics: An International Journal 06:12 (2011) 397-411.
175. T. Mansour and M. Shattuck, A recurrence related to the Bell numbers, Integers: Electronic Journal of Combinatorial Number Theory 11 (2011) Article A67 (pp. 11).
174. J. Lindsay, T. Mansour and M. Shattuck, A new combinatorial interpretation of a q-analogue of the Lah numbers, Journal of Combinatorics 2:2 (2011) 245-264.
173. G.-S. Cheon and T. Mansour<, Rational combinations for the sums involving inverse binomial coefficients, Applied Mathematics and Computation 18 (2011) 2641-2646.
172. C. Brennan, A. Knopfmacher, T. Mansour and S. Wagner, Separation of the maxima in samples of geometric random variables, Applicable Analysis and Discrete Mathematics 5 (2011) 271-282.
171. T. Mansour and M. Shattuck, On a certain cubic geometric inequality, Forum Geometricorum 11 (2011) 175-181.
170. X. Cai and T. Mansour, Bilinear forms on skein modules and steps in Dyck paths, Journal of Mathematical Physics (2011) 073509, (15pp.).
169. T. Mansour and M. Shattuck, Pattern avoiding partitions and Motzkin left factors, Central European Journal of Mathematics 9(5) (2011) 1121-1134.
168. T. Mansour and M. Schork, The commutation relation xy=qyx+hf(y) and Newton's binomial formula, The Ramanujan Journal 25 (2011) 405--445.
167. V. Krasniqi, T. Mansour and A. Sh. Shabani, On some Feng Qi type q-integral inequalities, Acta Universitatis Apulensis 27 (2011) 109--114.
166. R. Freji and T. Mansour, Packing a binary pattern in compositions, Journal of Combinatorics 2:1 (2011) 113--137.
165. T. Mansour, Adjoint polynomials of bridge-path and bridge-cycle graphs and Chebyshev polynomials, Discrete Mathematics 311 (2011) 1778--1785.
164. C.-O. Chow and T. Mansour, A Carlitz identity for the wreath product Cr~Sn, Advances in Applied Mathematics 47 (2010) 199--215.
163. J. Hatzl, T. Mansour and M. Shattuck, Maximizing the total error of image segmentation algorithms, Journal of Mathematical Modelling and Algorithms 10 (2011) 193--203.
162. G. Gutin, T. Mansour and S. Severini, A characterization of horizontal visibility graphs and combinatorics on words, Physica A: Statistical Mechanics and its Applications 390 (2011) 2421--2428.
161. T. Mansour, M. Schork and M. Shattuck, On a new family of generalized Stirling and Bell numbers, Electronic Journal of Combinatorics 18 (2011) #P77 (33pp.).
160. T. Mansour, A. Munagi and M. Shattuck, Recurrence relations and two-dimensional set partitions, Journal of Integer Sequences 14 (2011) Article 11.4.1, (17pp.).
159. G. Bevilacqua, V. Biancalana, Y. Dancheva, L. Moi and T. Mansour, A new class of sum rules for products of Bessel functions, Journal of Mathematical Physics 52 (2011) 033508 (9pp.).
158. T. Mansour, G. Nassar and V. Vajnovszki, Loop-free Gray code algorithm for the e-restricted growth functions, Information Processing Letters 111 (2011) 541-544.
157. T. Mansour and M. Shattuck, Restricted partitions and q-Pell numbers, Central European Journal of Mathematics 9(2) (2011) 346-355.
156. B. Bates and T. Mansour, The q-Calkin-Wilf Tree, Journal of Combinatorial Theory, Series A 118 (2011) 1143-1151.
155. T. Mansour, Protected points in k-ary trees, Applied Mathematics Letters 24 (2011) 478-480.
154. M. Falah and T. Mansour, Ascents of size d or less in compositions, Central European Journal of Mathematics 9(1) (2011) 196--203.
Publications 2010
153. Q.H. Hou and T. Mansour, Kernel method and systems of functional equations with several conditions, Journal Computational and Applied Mathematics 235:5 (2010) 1205--1212.
152. T. Mansour and Y. Sun, Statistics on permutations, Online Journal of Analytic Combinatorics 5 (2011) Article 5 (15pp.).
151. V. Krasniqi, T. Mansour, and A. Sh. Shabani, Some inequalities for q-polygamma function and zetaq-Riemann zeta functions, Annales Mathematicae et Informaticae 37 (2010) 95--100.
150. V. Krasniqi, T. Mansour, and A. Sh. Shabani, Some monotonicity properties and inequalities for Gamma and zeta-functions, Mathematical Communications 15:2 (2010) 365--376.
149. V. Jelinek and T. Mansour, Matchings and Partial Patterns, Electronic Journal of Combinatorics 17(1) (2010) #R158, (30pp.).
148. T. Mansour and G. Nassar, A loop-free Gray code algorithm for the set of compositions, Journal of Mathematical Modelling and Algorithms 9 (2010) 343--356.
147. C.-O. Chow and T. Mansour, Counting derangements, involutions and unimodal elements in the wreath product Cr~Sn, Israel Journal of Mathematics 179 (2010) 425--448.
146. T. Mansour, M. Shattuck, and S. Wagner, Enumerating set partitions by the number of positions between adjacent occurrences of a letter, Applicable Analysis and Discrete Mathematics 4.2 (2010) 284--308.
145. A. Knopfmacher, T. Mansour, and S. Wagner, Records in set partitions, Electronic Journal of Combinatorics 17 (2010) #R109 (14pp.).
144. T. Mansour and M. Shattuck, Counting peaks and valleys in a partition of a set, Journal of Integer Sequences 13 (2010) Article 10.6.8 (17pp.).
143. N.Y. Li, T. Mansour and A.O. Munagi, Plane trees and reduction rules, Utilitas Mathematica 81 (2010) 215--230.
142. T. Mansour and Sherry H.F. Yan, Minimal permutations with d descents, European Journal of combinatorics 31 (2010) 1445--1460.
141. T. Mansour and M. Schork, On linear differential equations with variable coefficients involving a para-Grassmann variable, Journal of Mathematical Physics 51, 043512 (2010), (21pp.).
140. A. Knopfmacher, T. Mansour, A. Munagi, and H. Prodinger, Staircase words and Chebyshev polynomials, Applicable Analysis and Discrete Mathematics 4 (2010) 81--95.
139. T. Mansour and M. Schork, The PI index of polyomino chains of 4k-cycles, Acta Applicandae Mathematicae 109 (2010) 671-681.
138. T. Mansour and A. Munagi, Block-connected set partitions, European Journal of Combinatorics 31 (2010) 887--902.
137. S. Iguri and T. Mansour, Some recursive formulas for Selberg-type integrals, Journal of Physics A: Mathematical and Theoretical 43 (2010) 065201 (11pp.).
136. A. Asinowski and T. Mansour, Separable d-permutations and Guillotine partitions, Annals of Combinatorics 14 (2010) 17--43.
135. T. Mansour, M. Shattuck, and Sherry H.F. Yan, Counting subwords in a partition of a set, Electronic Journal of Combinatorics 17 (2010) #R19 (21pp.).
134. T. Mansour and M. Schrok, Wiener, hyper-Wiener, detour and hyper-detour indices of bridge and chain graphs, Journal of Mathematical Chemistry 47 (2010) 72--98.
133. B. S. El-Desouky, N. P. Cakic, and T. Mansour, Modified approach to generalized Stirling numbers via differential operators, Letters Applied Mathematics 23:1 (2010) 115--120.
132. T. Mansour, Smooth partitions and Chebyshev polynomials, Bulletin of the London Mathematical Society 41 (2010) 961--970.
Publications 2009
131. T. Mansour and A.O. Munagi, Enumeration of gap-bounded set partitions, Journal of Automata, Languages and Combinatorics 14:3-4 (2009) 237-245.
130. A. Knopfmacher, T. Mansour, and A. Munagi, Recurrence relation and plane compositions, Journal of Difference Equations and Applications (2009) 1--13, iFirst article.
129. S. Heubach, T. Mansour, and A.O. Munagi, Avoiding permutation patterns of type (2,1) in compositions, Online Journal of Analytic Combinatorics 4 (2009) Article 3 (9pp.).
128. T. Mansour and Y. Sun, Even signed permutations avoiding 2-Letter Signed Patterns, Journal of Mathematical Research and Exposition 29:5 (2009) 813--822.
127. T. Mansour and Y. Sun, Identities involve Narayana polynomials and Catalan numbers, Discrete Mathematics 309:12 (2009) 4079--4088.
126. E. Bagno, D. Garber, and T. Mansour, Counting descent pairs with prescribed colors in the colored permutation groups, Seminaire Lotharingien de Combinatoire 60 (2009) Article B60e (12pp.).
125. T. Mansour and M. Schrok, On linear differential equations involving a paragrassmann variable, Symmetry, Integrability, and Geometry: Methods and Applications 5 (2009) Article 073 (26pp.).
124. A. Hamma, T. Mansour, and S. Severini, Diffusion on an Ising chain with kinks, Physics Letters A 373:31 (2009) 2622--2628.
123. T. Mansour and M. Schork, The solution of the recurrence relation fn(t)=an(t)fn-1(t)-bn(t) d/dt fn-1(t), Journal of Difference Equations and Applications 15:7 (2009) 679--691.
122. T. Mansour, C. Song, and R. Yuster, A comment on Ryser's conjecture for intersecting hypergraphs, Graphs and Combinatorics 25 (2009) 101--109.
121. T. Mansour and S. Severini, Counting paths in Bratteli diagrams for SU(2)k, EPL - A Letters Journal Exploring the Frontiers of Physics (Europhsics Letters) 86 (2009) 33001 (4pp.).
120. Eva Y.P. Deng, W.M.B. Dukes, T. Mansour, and Susan Y.J. Wu, Symmetric Schroder paths and restricted involutions, Discrete Mathematics 309:12 (2009) 4108--4115.
119. T. Mansour and N. Mbarieky, Partitions of a set satisfying certain set of conditions, Discrete Mathematics 309:13 (2009) 4481--4488.
118. V. Jelinek and T. Mansour, Wilf-equivalence on k-ary words, compositions, and parking functions, Electronic Journal of Combinatorics 16 (2009) #R58 (9pp.).
117. T. Mansour and C. Song, New permutation statistics: variation and a variant, Discrete Applied Mathematics 157:8 (2009) 1974--1978.
116. T. Mansour and A. Sh. Shabani, Some inequalities for the q-digamma function, Journal of Inequalities in Pure and Applied Mathematics 10:1 (2009) Article 12 (8pp.).
115. T. Mansour, Enumeration of words by the sum of differences between adjacent letters, Discrete Mathematics and Theoretical Computer Science 11:1 (2009) 173--186.
114. T. Mansour and M. Schork, The vertex PI index and Szeged index of bridge graphs, Discrete Applied Mathematics 157:7 (2009) 1600--1606.
113. G. Firro and T. Mansour, Restricted k-ary words and functional equations, Discrete Applied Mathematics 157:4 (2009) 602--616.
112. T. Mansour, Identities for sums q-analogue of polylogarithm functions, Letters in Mathematical Physics 87:1-2 (2009) 1--18.
111. T. Mansour and A.O. Munagi, Enumeration of partitions by long rises, levels and descents, Journal of Integer Sequences 12 (2009) Article 09.1.8 (17pp.).
110. T. Mansour and C. Song, Kernel method and system of functional equations, Journal of Computational and Applied Mathematics 224 (2009) 133--139.
109. W. M. B. Dukes, V. Jelinek, T. Mansour, and A. Reifegerste, New equivalences for pattern avoidance for involutions, Proceedings of the American Mathematical Society 137 (2009) 457--465.
108. T. Mansour and M. Schork, The PI index of bridge and chain graphs, MATCH Communications in Mathematical and in Computer Chemistry 61:3 (2009) 723--734.
Publications 2008
107. A. Burstein, S. Kitaev, and T. Mansour, Counting independent sets in some classes of (almost) regular graphs, Pure Mathematics and Applications 19:2-3 (2008) 17--26.
106. M. Dukes, M.F. Flanagan, T. Mansour, and V. Vajnovszki, Combinatorial Gray codes for classes of pattern avoiding permutations, Theoretical Computer Science 396:1-3 (2008) 35--49.
105. Q.H. Hou, T. Mansour, and S. Severini, Partial transpose of permutation matrices, Integers: Electronic Journal of Combinatorial Number Theory 8 (2008) Article A49 (10pp.).
104. T. Mansour and G. Nassar, Gray codes, Loopless algorithm and partitions, Journal of Mathematical Modelling and Algorithms 7:3 (2008) 291--310.
103. T. Mansour and Y. Sun, Dyck Paths and partial Bell polynomials, The Australasian Journal of Combinatorics 42 (2008) 285--298.
102. S. Kitaev, T. Mansour, and J.B. Remmel, Counting descents, rises, and levels, with prescribed first element, in words, Discrete Mathematics and Theoretical Computer Science 10:3 (2008) 1--22.
101. T. Mansour, Some inequalities for the q-gamma function, Journal of Inequalities in Pure and Applied Mathematics 9:1 (2008) Article 18 (4pp.).
100. T. Mansour and Y. Sun, Excedance numbers for permutations in complex reflection groups, Seminaire Lotharingien de Combinatoire 58 (2008) Article B58b (7pp.).
99. Y. Ginosar, I. Gutman, T. Mansour, and M. Schork, Estrada index and Chbeyshev polynomials, Chemical Physics Letters 454(4-6) (2008) 145--147.
98. V. Jelinek and T. Mansour, On pattern-avoiding partitions, Electronic Journal of Combinatorics 15 (2008) #R39 (52pp.).
97. T. Mansour, Longest alternating subsequences in pattern-restricted k-ary words, Online Journal of Analytic Combinatorics 3 (2008) #5 (10pp.).
96. T. Mansour and M. Schork, On the normal ordering of multi-mode boson operators, Russian Journal of Mathematical Physics 15:1 (2008) 51--60.
95. S. Kitaev, T. Mansour, and P. Seebold, Counting ordered patterns in words generated by morphisms, Integers: Electronic Journal of Combinatorial Number Theory 8 (2008) Article A3 (28pp.).
94. S. Heubach, Nelson Y. Li, and T. Mansour, Staircase Tilings and k-Catalan Structures, Discrete Mathematics 308:24 (2008) 5954--5953.
93. T. Mansour and Y. Sun, Bell Polynomials and k-generalized Dyck Paths, Discrete Applied Mathematics 156:12 (2008) 2279--2292.
92. T. Mansour and S. Severini, Enumeration of (k,2)-noncrossing partitions, Discrete Mathematics 308:20 (2008) 4570--4577.
91. W. M. B. Dukes, T. Mansour, and A. Reifegerste, Wilf classification of three and four letter signed patterns, Discrete Mathematics 308:15 (2008) 3125--3133.
90. A. Asinowski and T. Mansour, Dyck paths with coloured ascents, European Journal of Combinatorics 29(5) (2008) 1262--1279.
89. T. Mansour and Y. Sun, On the number of combinations without certain separations, European Journal of Combinatorics 29(5) (2008) 1200--1206.
88. T. Mansour, M. Schork, and S. Severini, Noncrossing normal ordering for functions of bosons, International Journal of Theoretical Physics 47 (2008) 832--849.
87. Q. Hou and T. Mansour, Kernel Method and Linear Recurrence System, Journal of Computational and Applied Mathematics 261:1 (2008) 227--242.
86. Nelson Y. Li and T. Mansour, An identity involving Narayana numbers, European Journal of Combinatorics 29:3 (2008) 672--675.
85. Eva Y.P. Deng and T. Mansour, Three Hoppy path problems and ternary paths, Discrete Applied Mathematics 156 (2008) 770--779.
84. Nancy Gu, Nelson Y. Li, and T. Mansour, 2-binary trees: bijections and related issues, Discrete Mathematics 308:7 (2008) 1209--1221.
83. T. Mansour, Longest alternating subsequences of k-ary words, Discrete Applied Mathematics 156:1 (2008) 119--124.
Publications 2007
82. W. M. B. Dukes and T. Mansour, Signed involutions avoiding 2-Letter signed patterns, Annals of Combinatorics 11:3-4 (2007) 387--403.
81. E. Gokcen Alptekin, T. Mansour, and N. Tuglu, Norms of Circulant and Semicirculant matrices and Horadam's sequence, Ars combinatorica 85 (2007) 353--359.
80. B. Furtula, I. Gutman, T. Mansour, S. Radenkovi, and M. Schork, Relating Estrada index with spectral radius, Journal of the Serbian Chemical Society 72:12 (2007) 1371--1376.
79. T. Mansour, M. Schork, and Y. Sun, Motzkin numbers of higher rank: Generating function and explicit expression, Journal of Integer Sequences 10 (2007) Article 07.7.4 (11pp.).
78. T. Mansour, M. Schork, and S. Severini, Wick's theorem for q-deformed boson operators, Journal of Physics A: Mathematical and Theoretical 40 (2007) 8393--8401.
77. T. Mansour and V. Vajnovszki, Restricted 123-Baxter permutations and Padovan numbers, Discrete Applied Mathematics 155:11 (2007) 1430--1440.
76. G. Firro, T. Mansour, and M. Wilson, Longest alternating subsequences in pattern-restricted permutations, Electronic Journal of Combinatorics 14 (2007) #R34 (18pp.).
75. T. Mansour, M. Schork, and S. Severini, A generalization of the boson normal ordering, Physics Letters A 364:3-4 (2007) 214--220.
74. E. Bagno, D. Garber, and T. Mansour, Excedance number for involutions in complex reflection groups, Seminaire Lotharingien de Combinatoire 56 (2007) Article B56d (11pp.).
73. T. Mansour, Recurrence relations with two indices and Even trees, Journal of Difference Equations and Applications 13(1) (2007) 47--61.
Publications 2006
72. S. Heubach, S. Kitaev, and T. Mansour, Avoidance of partially ordered patterns and compositions, Pure Mathematics and Applications 17(1-2) (2006) 123--134.
71. S. Heubach and T. Mansour, Staircase Tilings and Lattice Paths, Congressus Numerantium 182 (2006) 97--109.
70. W. Y. C. Chen, T. Mansour, and S. H. F. Yan, Matchings avoiding partial patterns, Electronic Journal of Combinatorics 13 (2006) #R112 (17pp.).
69. T. Mansour and B.O. Sirhan, Counting l-letter subwords in compositions, Discrete Mathematics and Theoretical Computer Science 8 (2006) 285--298.
68. T. Mansour, The enumeration of permutations whose posets have a maximal element, Advances in Applied Mathematics 37:4 (2006) 434--442.
67. V. Jelinek, Nelson Y. Li, T. Mansour, and Sherry H. F. Yan, Matchings avoiding partial patterns and lattice paths, Electronic Journal of Combinatorics 13 (2006) #R89 (12pp.).
66. A. Burstein, S. Elizalde, and T. Mansour, Restricted Dumont permutations, Dyck paths, and noncrossing partitions, Discrete Mathematics 306:22 (2006) 2851--2869.
65. T. Mansour, Combinatorial methods and recurrence relations with two indices, Journal of Difference Equations and Applications 12:6 (2006) 555--563.
64. T. Mansour, Restricted even permutations and Chebyshev polynomials, Discrete Mathematics 306:12 (2006) 1161--1176.
63. T. Mansour, Eva Y.P. Deng, and Rosena R.X. Du, Dyck paths and restricted permutations, Discrete Applied Mathematics 154:11 (2006) 1593--1605.
62. G. Firro and T. Mansour, Three-letter-pattern-avoiding permutations and functional equations, Electronic Journal of Combinatorics 13 (2006) #R51 (14pp.).
61. Qing-Hu Hou and T. Mansour, Horse paths, restricted 132-avoiding permutations, continued fractions, and Chebyshev polynomials, Discrete Applied Mathematics 154:8 (2006) 1183--1197.
60. T. Mansour, Sherry H.F. Yan, and Laura L.M. Yang, Counting occurrences of 231 in an involution, Discrete Mathematics 306:6 (2006) 564--572.
59. T. Mansour, Restricted 132-avoiding k-ary words, Chebyshev polynomials, and Continued fractions, Advances in Applied Mathematics 36:2 (2006) 175--193.
58. S. Heubach and T. Mansour, Avoiding patterns of length three in compositions and multisets, Advances in Applied Mathematics 36:2 (2006) 156--174.
57. E. Egge and T. Mansour, Bivariate generating functions for involutions restricted by 3412, Advances in Applied Mathematics 36:2 (2006) 118--137.
56. S.L. Braunstein, S. Ghosh, T. Mansour, S. Severini, and R.C. Wilson, Some families of density matrices for which separability is easily tested, Physical Review A 73 (2006) 012320, 1--10.
55. T. Mansour, Statistics on Dyck paths, Journal Integer of Sequences 9:1 (2006) Article 06.1.5 (13pp.).
Publications 2005
54. S. Elizalde and T. Mansour, Restricted Motzkin permutations, Motzkin paths, Continued fractions, and Chebyshev Polynomials, Discrete Mathematics 305:1-3 (2006) 170--189.
53. S. Heubach and T. Mansour, Counting rises, levels, and drops in compositions, Integers: Electronic Journal of Combinatorial Number Theory 5 (2005) Article A11 (24pp.).
52. C. Bebeacua, T. Mansour, A. Postnikov, and S. Severini, On the X-rays of permutations, Electronic Notes in Discrete Mathematics 20 (2005) 193--203.
51. P. Branden and T. Mansour, Finite automata and pattern avoidance in words, Journal Combinatorial Theory Series A 110:1 (2005) 127--145.
50. S. Kitaev, T. Mansour, and A. Vella, Pattern avoidance in matrices, Journal of Integer Sequences 8:2 (2005) Article 2 (16pp.).
49. E. Egge and T. Mansour, Restricted permutations, Fibonacci numbers, and k-generalized Fibonacci numbers, Integers: Electronic Journal of Combinatorial Number Theory 5 (2005) Article A1 (12pp.).
48. A. Claesson and T. Mansour, Enumerating permutations avoiding a pair of Babson-Steingrimsson patterns, Ars Combinatorica 77 (2005) 17--31.
47. T. Mansour, Generalizations of some identities involving the Fibonacci numbers, The Fibonacci Quarterly 43:4 (2005) 307--315.
46. S. Kitaev and T. Mansour, Linear recurrences and Chebyshev polynomials, The Fibonacci Quarterly 43.3 (2005) 256--261.
45. S. Kitaev, T. Mansour, and P. Seebold, Generating the Peano curve and counting occurrences of some patterns, Journal of Automata, Languages and Combinatorics 9:4 (2004) 439--455.
44. S. Kitaev and T. Mansour, On multi-avoiding of generalized patterns, Ars Combinatoria 76 (2005) 321--350.
43. S. Kitaev and T. Mansour, Simultaneous avoidance of generalized patterns, Ars Combinatoria 75 (2005) 267--288.
42. T. Mansour, Squaring the terms of an lth order linear recurrence, Australasian Journal of Combinatorics 31 (2005) 15--20.
Publications 2004
41. S. Heubach and T. Mansour, Compositions of n with parts in a set, Congressus Numerantium 168 (2004) 127--143.
40. T. Mansour, On an open problem of Green and Losonczy: exact enumeration of freely braided permutations, Discrete Mathematics and Theoretical Computer Science 6:2 (2004) 461--470.
39. G.L. Karakostas and T. Mansour, Sharp boundedness conditions for a difference equation via the Chebyshev polynomials, Journal Difference Equations and Applications 10:11 (2004) 941--948.
38. E. Egge and T. Mansour, Restricted 132-two-stack sortable permutations, Fibonacci numbers, and Pell numbers, Discrete Applied Mathematics 143:1--3 (2004) 72--83.
37. T. Mansour, Rational identities and inequalities, Journal of Inequalities in Pure and Applied Mathematics 5:3 (2004) Article 75 (11pp.).
36. T. Mansour, Permutations containing a pattern exactly once and avoiding at least two patterns of three letters, Ars Combinatorica 72 (2004) 213--222.
35. E. Egge and T. Mansour, 231-avoiding involutions and Fibonacci numbers, Australasian Journal of Combinatorics 30 (2004) 75--84.
34. T. Mansour, A formula for the generating functions of powers of Horadam's sequence, Australasian Journal of Combinatorics 30 (2004) 207--212.
33. T. Mansour, Counting occurrences of 132 in an even permutation, International Journal of Mathematics and Mathematical Sciences 25 (2004) 1329--1341.
32. T. Mansour, Equidistribution and sign-balance on 132-avoiding permutations, Seminaire Lotharingien de Combinatoire 51 (2004) Article B51e (11pp.).
31. S. Kitaev and T. Mansour, The problem of the pawns, Annals of Combinatorics 8:1 (2004) 81--91.
30. T. Mansour, Permutations restricted by patterns of type (2,1), Ars Combinatoria 71 (2004) 201--223.
29. T. Mansour, Average norms of polynomials, Advances in Applied mathematics 32:4 (2004) 698--708.
28. T. Mansour, Continued fractions, statistics, and generalized patterns, Ars Combinatoria 70 (2004) 265--274.
27. T. Mansour, Restricted 132-Dumont permutations, Australasian Journal of Combinatorics 29 (2004) 103--118.
Publications 2003
26. T. Mansour, Coloured permutations containing and avoiding certain patterns, Annals of Combinatorics 7:3 (2003) 349--355.
25. A. Burstein, P. Hasto, and T. Mansour, Packing patterns in words, Electronic Journal of Combinatorics 9:2 (2003) #R20 (13pp.).
24. T. Mansour, Restricted 132-alternating permutations and Chebyshev polynomials, Annals of Combinatorics 7:2 (2003) 201--227.
23. S. Kitaev and T. Mansour, Partially Ordered generalized patterns and k-ary words, Annals of Combinatorics 7:2 (2003) 191--200.
22. A. Burstein and T. Mansour, Words restricted by 3-letter generalized multipermutation patterns, Annals of Combinatorics 7:1 (2003) 1--14.
21. A. Burstein and T. Mansour, Counting occurrences of some subword patterns, Discrete Mathematics and Theoretical Computer Science 6:1 (2003) 1--12.
20. E. Egge and T. Mansour, Permutations which avoid 1243 and 2143, Continued Fractions, and Chebyshev Polynomials, Electronic Journal of Combinatorics 9:2 (2003) #R7 (35pp.).
19. T. Mansour and Z. Stankova, 321-polygon-avoiding permutations and Chebyshev polynomials, Electronic Journal of Combinatorics 9:2 (2003) #R5 (16pp.).
Publications 2002
18. O. Guibert and T. Mansour, Some statistics on restricted 132 involutions, Annals of Combinatorics 6:3-4 (2002) 349--374.
17. T. Mansour and A. Robertson, Refined Restricted permutations avoiding subsets of patterns of length three, Annals of Combinatorics 6:3 (2002) 407--418.
16. T. Mansour and J. West, Avoiding 2-letter signed patterns, S\'eminaire Lotharingien de Combinatoire 49 (2002) Article B49a (11pp.).
15. A. Claesson and T. Mansour, Counting occurrences of a pattern of type (1,2) or (2,1) in permutations, Advances in Applied Mathematics 29 (2002) 293--310.
14. T. Mansour, Restricted 1-3-2 permutations and generalized patterns, Annals of Combinatorics 6 (2002) 65--76.
13. O. Guibert and T. Mansour, Restricted 132-involutions, S\'eminaire Lotharingien de Combinatoire 48 (2002) Article B48a (23pp.).
12. T. Mansour, Counting peaks at height k in a Dyck path, Journal Integer of Sequences 5 (2002) Article 02.1.1 (10pp.).
11. T. Mansour, Continued fractions and generalized patterns, European Journal of Combinatorics 23:3 (2002) 329--344.
10. T. Mansour, Combinatorial identities and inverse binomial coefficients, Advances in Applied Mathematics 28:2 (2002) 196--202.
9. T. Mansour and A. Vainshtein, Restricted permutations and Chebyshev polynomials, S\'eminaire Lotharingien de Combinatoire 47 (2002) Article B47c (17pp.).
8. A. Burstein and T. Mansour, Words restricted by patterns with at most 2 distinct letters, Electronic Journal of Combinatorics 9:2 (2002) #R3 (14pp.).
7. T. Mansour and A. Vainshtein, Counting occurrences of 132 in a permutation, Advances in Applied Mathematics 28:2 (2002) 185--195.
Publications 2001
6. T. Mansour and A. Vainshtein, Layered restrictions and Chebyshev polynomials, Annals of Combinatorics 5 (2001) 451--458.
5. T. Mansour, Permutations avoiding a pattern from Sk and at least two patterns from S3, Ars Combinatorica 62 (2001) 227--239.
4. T. Mansour, Pattern avoidance in coloured permutations, Seminaire Lotharingien de Combinatoire 46 (2001) Article B46g (12pp.).
3. T. Mansour and A. Vainshtein, Restricted 132-avoiding permutations, Advances in Applied Mathematics 26 (2001) 258--269.
Publications 2000
2. T. Mansour and A. Vainshtein, Avoiding maximal parabolic subgroups of Sk, Discrete Mathematics and Theoretical Computer Science 4 (2000) 67--77.
1. T. Mansour and A. Vainshtein, Restricted permutations, continued fractions, and Chebyshev polynomials, The Electronic Journal of Combinatorics 7 (2000) #R17 (9pp.).
6. A. Asinowski, C. Krattenthaler and T. Mansour, Counting triangulations of balanced subdivisions of convex polygons, Electronic Notes in Discrete Mathematics 54 (2016) 73--78.
5. T. Mansour and M. Schork, Topological Indices: Bridge and Chain Graphs, Chapter in the book Distance in Molecular Graphs, to appear 2011.
4. T. Mansour and A.O. Munagi, Enumeration of partitions by rises, levels and descents, Permutation Patterns, St. Andrews 2007, LMS Lecture Note Series 376, Cambridge University Press, Cambridge, 2010, 221-232.
3. S. Kitaev, T. Mansour, and P. Seebold, Counting ordered patterns in words generated by morphisms, Lecture Notes in Computer Science 5196 (2008) 287-298.
2. S.L. Braunstein, S. Ghosh, T. Mansour, S. Severini, and R.C. Wilson, Some families of density matrices for which separability is easily tested, Virtual Journal of Quantum Information, February 2006, (10pp.).
1. T. Mansour, 321-avoiding permutations and Chebyshev polynomials, Mathematics and computer science III, 37--38, Trends Math., Birkhauser, Basel, 2004.
32. A. Asinowski, C. Krattenthaler and T. Mansour, Counting triangulations of balanced subdivisions of convex polygons, 10-th edition of the Jornadas de Matematica Discreta y Algoritmica, JMDA2016, Barcelona, 6-8 July, 2016.
31. M. Archibald, A. Knopfmacher, and T. Mansour, Compositions and samples of geometric random variables with constrained multiplicities, 22th International Conference on Formal Power Series and Algebraic Combinatorics, 2010, San Francisco, USA, DMTCS Proc. AN, 2010, 449--460.
30. A. Asinowski, G. Barequet, T. Mansour, and R.Y. Pinter, Order types of segments in floorplan partitions, 26-th European Workshop on Computational Geometry (EuroCG'10), March 22-24, 2010 (4pp.).
29. A. Knopfmacher and T. Mansour, Record statistics in integer compositions, 21th International Conference on Formal Power Series and Algebraic Combinatorics, Hagenberg, Austria, at the Research Institute for Symbolic Computation (RISC), July 20-24, 2009, (7pp.).
28. A. Asinowski and T. Mansour, Separable d-permutations and guillotine partitions, The sixth Annual International Conference on Permutation Patterns, Dunedin, New Zealand, 16--20 June 2008 (6pp.).
27. W. M. B. Dukes, V. Jelinek, T. Mansour, and A. Reifegerste, New equivalences for pattern avoidance for involutions, 20th International Conference on Formal Power Series and Algebraic Combinatorics, Valparaiso Vina del Mar, Chile, June 23-27, 2008 (12pp.), Proceeding's Discrete Mathematics and Theoretical Computer Science AJ (2008) 181--188.
26. S. Kitaev, T. Mansour and P. Seebold, Counting ordered patterns in words generated by morphisms, 2nd International Conference on Language and Automata Theory and Application, LATA 2008 (12pp.).
25. S. Heubach and T. Mansour, Enumeration of 3-Letter Patterns in Compositions, Combinatorial Number Theory in Celebration of the 70-th Birthday of Ronald Graham, 2007, 243--264, de Gruyter.
24. W. M. B. Dukes and T. Mansour, Involutions avoiding the class of permutations in Sk with prefix 12, 19th International Conference on Formal Power Series and Algebraic Combinatorics, Center for Combinatorics, Nankai University, Tianjin, China, July 2--6, 2007, (12pp.).
23. T. Mansour and S. Severini, Grid polygons from permutations and their enumeration by the kernel method, 19th International Conference on Formal Power Series and Algebraic Combinatorics, Center for Combinatorics, Nankai University, Tianjin, China, July 2--6, 2007, (11pp.).
22. E. Bagno, D. Garber, and T. Mansour, On the excedance number for involutions in colored permutation groups, 26th International Colloquium on group Theoretical Methods in Physics, City University of New York, New York, June 26-30, 2006 (6pp.).
21. T. Mansour and S. Severini, Grid polygons from permutations and their enumeration by the kernel method, GASCom and Bijective Combinatorics 2006 5th Edition, France, Dijon, 11--15 September 2006, 175--185.
20. G. Firro and T. Mansour, Longest alternating subsequences in pattern-restricted permutations, The fourth annual international conference on Permutation Patterns, Reykjavik, Iceland, 12--16 June, 2006 (3pp.).
19. A. Burstein, S. Elizalde, and T. Mansour, Restricted Dumont permutations, Dyck paths, and noncrossing partitions, 18th International Conference on Formal Power Series and Algebraic Combinatorics, San Diego, California, USA, June 1923, 2006, 363--374.
18. S.L. Braunstein, S. Ghosh, T. Mansour, and S. Severini, A discrete family of density matrices for which separability is easily tested, ERATO conference on Quantum Information Science, National Museum of Emerging Science and Innovation "Nihon Kagaku Miraikan", JST, Japan (Tokyo), 2005 August 26--30, 2005 (2pp.).
17. S. Heubach and T. Mansour, Compositions and multisets restricted by patterns of length three, Workshop on permutation patterns, Israel (Haifa), May 28 - June 3, 2005 (3pp.).
16. C. Bebeacua, T. Mansour, and S. Severini, On the X-rays of permutations, Discrete Tomography and Its Applications, New York City, June 13-15, 2005 (2pp.).
15. T. Mansour, Sherry H.F. Yan, and Laura L.M. Yang, Counting occurrences of 231 in an involution, Proceeding's 17th Conference on Formal Power Series and Algebraic Combinatorics, University of Messina, Sicily, Italy, June 20--25, 2005 (9pp.).
14. G. Firro and T. Mansour, Restricted permutations and polygons, The Third International Conference on Permutation Patterns, University of Florida, Gainesville, Florida, March 7--11, 2005 (5pp.).
13. T. Mansour, Restricted 132-avoiding k-ary words, Chebyshev polynomials, and Continued fractions, The Third International Conference on Permutation Patterns, University of Florida, Gainesville, Florida, March 7--11, 2005 (5pp.).
12. T. Mansour, Sherry H.F. Yan, and Laura L.M. Yang, Counting occurrences of 231 in an involution, Combinatorics, Special Functions and Physics, In Honor of the 75th Birthday of James D. Louck, Nankai University, China (Tianjin), August 2--4, 2004 (9pp.).
11. T. Mansour, 321-avoiding permutations and Chebyshev polynomials, Third Colloquium on Mathematics and Computer Science Algorithms, Trees, Combinatorics and Probabilities, Vienna, Austria, September 13--17, 2004 (2pp.).
10. A. Burstein and T. Mansour, Restricted Dumont permutations, Second Annual International Conference on Permutation Patterns, Malaspina University-College, Nanaimo, British Columbia, July 5, 2004 (4pp.).
9. S. Elizalde and T. Mansour, Restricted Motzkin permutations, Motzkin paths, continued fractions, and Chebyshev polynomials, Proceeding's 16th Conference on Formal Power Series and Algebraic Combinatorics , University of British Columbia, (Vancouver, Canada), June 28 - July 2, 2004 (13pp.).
8. P. Branden and T. Mansour, Finite automata and pattern avoidance in words, Proceeding's 16th Conference on Formal Power Series and Algebraic Combinatorics, University of British Columbia, (Vancouver, Canada), June 28 - July 2, 2004 (12pp.).
7. S. Elizalde and T. Mansour, Restricted Motzkin permutations, Motzkin paths, continued fractions, and Chebyshev polynomials, Paths, Permutations and Trees, Nankai University, China (Tianjin), February 25-27, 2004 (12pp.).
6. A. Burstein and T. Mansour, Packing patterns into words, Proceeding's of Permutation Patterns 2003, Dunedin, New Zealand, February 2003, 19--27.
5. T. Mansour and Z. Stankova, 321-polygon-avoiding permutations and Chebyshev polynomials, Proceeding's 15th Conference on Formal Power Series and Algebraic Combinatorics 2003, June 23--27, 2003 (14pp.).
4. T. Mansour, Counting occurrences of 132 in an even permutation, Proceeding's 15th Conference on Formal Power Series and Algebraic Combinatorics 2003, June 23--27, 2003 (12pp.).
3. A. Burstein and T. Mansour, Words restricted by patterns with at most 2 distinct letters, Proceeding's 14th Conference on Formal Power Series and Algebraic Combinatorics, Melbourne, 2002 (11pp.).
2. T. Mansour and A. Vainshtein, Counting occurrences of 132 in a permutation, Proceeding's 14th Conference on Formal Power Series and Algebraic Combinatorics, Melbourne, 2002 (9pp.).
1. T. Mansour, Avoiding and containing certain patterns, Proceeding's 12th Conference on Formal Power Series and Algebraic Combinatorics (Moscow 2000), Springer-Verlag, Berlin, 2000, 704--708.