אודות
Enumerative Combinatorics, Combinatorial identities, Formal power series and Generating functions, Kernel method, Difference relations, Pattern avoidance problem •Discrete Mathematics and its applications to Physics, Biology, and Chemistry
פרסומים
- On ascent sequences avoiding 021 and a pattern of length four, Mansour, T. & Shattuck, M., Oct 2026, In: Australasian Journal of Combinatorics. 96, 1, p. 49-80
- Levels, ascents, and descents in restricted-growth words of type B, Mansour, T. & Safadi, A., 20 Aug 2026, (E-pub ahead of print) In: Online Journal of Analytic Combinatorics. p. 1-22
- The Grammatical Bases, Ma, S. M., Mansour, T., Yeh, J. & Yeh, Y. N., Aug 2026, In: Journal of Systems Science and Complexity. 39, 4, p. 1856-1878 23 p.
- Water capacity of baryiamonds, Mansour, T., Aug 2026, (E-pub ahead of print) In: Advances in Applied Mathematics. 181, p. 103145 1 p.
- 0132-Avoiding Ascent Sequences, Mansour, T., Jul 2026, In: Symmetry. 18, 7, 12 p., 1174.
- Interior and boundary vertices in baryiamonds, Mansour, T. & Schork, M., Jul 2026, In: Physica Scripta. 101, 27, 275207.
- Pattern avoidance and Schur-positivity in restricted-growth words of type B, Bagno, E., Garber, D., Mansour, T. & Safadi, A., 15 Jun 2026, In: Discrete Applied Mathematics. 386, p. 116-138 23 p.
- Generating Trees Unifying Several Classes of Four-Letter Pattern-Avoiding Descent Sequences, Mansour, T., Jun 2026, In: Axioms. 15, 6, p. 450
- Approximation Properties Variant of Baskakov–Schurer–Szász Operators Induced by Sheffer Polynomials, Braha, N. L. & Mansour, T., Jun 2026, In: Mathematics. 14, 11, 16 p., 1872.
- APPROXIMATION PROPERTIES OF VARIANT OF SZÁSZ OPERATORS BASED ON BELL-SHEFFER POLYNOMIALS, Braha, N. L., Mansour, T. & Kajla, R., Jun 2026, In: Journal of Mathematical Inequalities. 20, 2, p. 687-705 19 p.
- Wilf Classes for Level Sequences Avoiding Patterns of Length Three, Mansour, T., Jun 2026, In: Mathematics. 14, 11, 1983.
- Statistics in Weak Ascent Sequences, Mansour, T., Apr 2026, In: Mathematics. 14, 8, 1378.
- Counting k-ary words by number of adjacency differences of a prescribed size, Fried, S., Mansour, T. & Shattuck, M., 9 Feb 2026, In: Journal of Combinatorics. 17, p. 145-177
- Combinatorics of Bargraphs, Mansour, T. & Shabani, A. S., Feb 2026, Prishtinë: STEM Press. 273 p.
- Interview with christian krattenthaler, Mansour, T., 2026, In: Enumerative Combinatorics and Applications. 6, 1, S3I1.
- Three Classes of Pattern-Avoiding Weak Ascent Sequences, Mansour, T., 2026, (Accepted/In press) In: Experimental Mathematics.
- Levels in Baryiamonds, Mansour, T., 2026, In: Discrete Mathematics Letters. 17, p. 30-36 7 p.
- Some Approximation Properties of New Kind of Baskakov–Schurer–Szász Operators, Nasiruzzaman, M., Mursaleen, M., Braha, N. L. & Mansour, T., 2026, (Accepted/In press) In: Proceedings of the National Academy of Sciences India Section A - Physical Sciences.
- Wilf classes for descent sequences avoiding a pattern or a pair of patterns of length three, Callan, D. & Mansour, T., 2026, In: Filomat. 40, 8, p. 3081-3095 15 p.
- SIGNED INVERSION SEQUENCES AVOIDING A SET OF LENGTH-2 SIGNED PATTERNS, Mansour, T. & Safadi, A., 2026, In: Integers. 26, A74.
- Random walk labelings of perfect trees and other graphs, Fried, S. & Mansour, T., 2025, In: Quaestiones Mathematicae. 48, 6, p. 879-901 23 p.
- Perimeter of an ascent sequence, Mansour, T., 2025, In: Filomat. 39, 27, p. 9601-9607 7 p.
- Inversion sequences avoiding 012 (001) and another pattern of length four, Mansour, T. & Callan, D., Jan 2025, In: Art of Discrete and Applied Mathematics.
- Smooth convex polyiamonds, Vajnovszki, V., Bernini, A. & Mansour, T., 2025, In: RAIRO - Theoretical Informatics and Applications. 59, 17.
- Avoidance of binary patterns by Catalan words, Mansour, T. & Shattuck, M., Jan 2025, In: Art of Discrete and Applied Mathematics. p. 1-30 30 p.
- Enumeration of inversion sequences according to the outer and inner perimeter, Mansour, T. & Shattuck, M., 2024, In: Pure Mathematics and Applications. 31, 1, p. 31-53 23 p.
- Counting of descents in a bargraph and barpolyiamonds, Mansour, T., 2024, In: Journal of Automata, Languages and Combinatorics. 29, 1, p. 41-48 8 p.
- Restricted Dyck paths on valleys sequence, Flórez, R., Mansour, T., Ramírez, J. L., Velandia, F. A. & Villamizar, D., 2023, In: Seminaire Lotharingien de Combinatoire. 87B
- The longest increasing subsequence in involutions avoiding 3412 and another pattern, Mansour, T., Rastegar, R., Roitershtein, A. & Yildirim, G., 2022, In: Pure Mathematics and Applications. 30, 4, p. 11-21 11 p.
- Set partitions and non-crossing partitions with $ell$-neighbors and $ell$-isolated elements, B'enyi, B., Mansour, T. & Ram'{i}rez, J. L., 2022, In: Australasian Journal of Combinatorics. 84, 2, p. 325-340 16 p.
- Average length of the longest increasing subsequences in random involutions avoiding $231$ and another pattern, Mansour, T. & Song, C., 2020, In: Discrete Mathematics Letters. 4, p. 56-59 4 p.
- Corrigendum to "A general two-term recurrence and its solution" [European J. Combin. 33 year = 2012, 20-26], Lancaster, M., Mansour, T., Mulay, S. & Shattuck, M., Jun 2018, In: European Journal of Combinatorics. 71, p. 268 1 p.
- Wilf classification of triples of 4-letter patterns II, Callan, D., Mansour, T. & Shattuck, M., 2017, In: Discrete Mathematics and Theoretical Computer Science. 19, 1, p. 6 1 p., 5.
- On avoidance of patterns of the form $sigma-tau$ by words over a finite alphabet, Mansour, T. & Shattuck, M., 2015, In: Discrete Mathematics and Theoretical Computer Science. 17, 2, p. 181-202 22 p.
- Erratum: A note on q-Daehee polynomials and numbers (Advanced Studies in Contemporary Mathematics (2014) 24:2 (155-160)), Kim, T., Lee, S. H., Mansour, T. & Seo, J. J., Jul 2014, In: Advanced Studies in Contemporary Mathematics (Kyungshang). 24, 3, p. 421 1 p.
- Monotonicity properties concerning certain lengths within a triangle, Mansour, T. & Shattuck, M., 2013, In: Journal of Advanced Mathematics and Applications. 2, 1, p. 59-64 6 p.
- Polynomials whose coefficients are $k$-Fibonacci numbers, Mansour, T. & Shattuck, M., 2012, In: Annales Mathematicae et Informaticae. 40, p. 57-76 20 p.
- Some monotonicity properties and inequalities for $Gamma$ and $zeta$-functions, Krasniqi, V., Mansour, T. & Shabani, A. S., Dec 2010, In: Mathematical Communications. 15, 2, p. 365-376 12 p.
- Pleine trees and reduction rules, Li, N. Y., Mansour, T. & Munagi, A. O., Mar 2010, In: Utilitas Mathematica. 81, p. 215-230 16 p.
- Some inequalities for q-polygamma function and ζq-Riemann zeta functions, Krasniqi, V., Mansour, T. & Shabani, A. S., 2010, In: Annales Mathematicae et Informaticae. 37, 1, p. 95-100 6 p.
- Enumeration of partitions by rises, levels and descents, Mansour, T. & Munagi, A., 1 Jan 2010, Permutation Patterns. Cambridge: Cambridge University Press, Vol. 376. p. 221 - 232
- Counting descent pairs with prescribed colors in the colored permutation groups, Bagno, E., Garber, D. & Mansour, T., 2009, In: Seminaire Lotharingien de Combinatoire. 60
- Avoiding permutation patterns of type $(2,1)$ in compositions, Heubach, S., Mansour, T. & Munagi, A. O., 2009, In: Online Journal of Analytic Combinatorics. 4
- Even signed permutations avoiding $2$-Letter Signed patterns, Mansour, T. & Sun, Y., 2009, In: Journal of Mathematical Research & Exposition. 29, 5, p. 813-822 10 p.
- Enumeration of gap-bounded set partitions, Mansour, T. & Munagi, A. O., 2009, In: Journal of Automata, Languages and Combinatorics. 14, 3-4, p. 237-245 9 p.
- Involutions avoiding the class of permutations in S κ with prefix 12, Dukes, W. M. B. & Mansour, T., 2007.
- Squaring the terms of an ℓth order linear recurrence, Mansour, T., 2005, In: Australasian Journal of Combinatorics. 31, p. 15-20 6 p.
- 321-Avoiding Permutations and Chebyshev Polynomials, Mansour, T., 2004, Mathematics and Computer Science III: Trends in Mathematics. Drmota, M., Flajolet, P., Gardy, D. & Gittenberger, B. (eds.). Basel: Birkhauser, p. 37-38 2 p.
- Permutations avoiding a pattern from Skand at least two patterns from S3, Mansour, T., Jan 2002, In: Ars Combinatoria. 62, p. 227-239 13 p.
- Avoiding maximal parabolic subgroups of Sk, Mansour, T. & Vainshtein, A., 2000, In: Discrete Mathematics and Theoretical Computer Science. 4, 1, p. 67-77 11 p.