Publications (89)
Nonlinear differential equation for Korobov numbers
Dae San Kim, Taekyun Kim, Hyuck In Kwon +1
Restricted Motzkin permutations, Motzkin paths, continued fractions, and Chebyshev polynomials
Sergi Elizalde, Toufik Mansour
On the degeneracy of $SU(3)_k$ topological phases
Stephen P. Jordan, Toufik Mansour, Simone Severini
The CLLC conjecture holds for cyclic outer permutations
Jonathan L. Gross, Toufik Mansour, Thomas W. Tucker +1
Permutations Which Avoid 1243 and 2143, Continued Fractions, and Chebyshev Polynomials
Eric S. Egge, Toufik Mansour
The descent statistic on signed simsun permutations
Shi-Mei Ma, Toufik Mansour, Hai-Na Wang
Enumeration of small Wilf classes avoiding 1324 and two other 4-letter patterns
David Callan, Toufik Mansour
On avoidance of patterns of the form Ï-Ï by words over a finite alphabet
Toufik Mansour, Mark Shattuck
Recurrence relations for patterns of type $(2,1)$ in flattened permutations
Toufik Mansour, Mark Shattuck, David G. L. Wang
Counting occurrences of 3412 in an involution
Toufik Mansour
A generalization of boson normal ordering
Toufik Mansour, Matthias Schork, Simone Severini
A Digital Binomial Theorem for Sheffer Sequences
Toufik Mansour, Hieu D. Nguyen
Grid polygons from permutations and their enumeration by the kernel method
Toufik Mansour, Simone Severini
Recurrence relations in counting the pattern 13-2 in flattened permutations
Toufik Mansour, David G. L. Wang
Excedance number for involutions in complex reflection groups
Eli Bagno, David Garber, Toufik Mansour
New equivalences for pattern avoiding involutions
Mark Dukes, Vit JelÃnek, Toufik Mansour +1
Normal ordering problem and the extensions of the Stirling grammar
Shi-Mei Ma, Toufik Mansour, Matthias Schork
On Multiple Pattern Avoiding Set Partitions
VÃt JelÃnek, Toufik Mansour, Mark Shattuck
Identities involving Narayana polynomials and Catalan numbers
Toufik Mansour, Yidong Sun
Apostol-Euler polynomials arising from umbral calculus
Taekyun Kim, Toufik Mansour, Seog-Hoon Rim
Smooth words and Chebyshev polynomials
Arnold Knopfmacher, Toufik Mansour, Augustine Munagi +1
Avoiding maximal parabolic subgroups of S_k
Toufik Mansour, Alek Vainshtein
On the X-rays of permutations
Cecilia Bebeacua, Toufik Mansour, Alexander Postnikov +1
Excedance numbers for permutations in complex reflection groups
Toufik Mansour, Yidong Sun
Counting occurrences of a pattern of type (1,2) or (2,1) in permutations
Anders Claesson, Toufik Mansour
Diffusion on an Ising chain with kinks
Alioscia Hamma, Toufik Mansour, Simone Severini
A monotonicity property for generalized Fibonacci sequences
Toufik Mansour, Mark Shattuck
Counting occurences of 132 in a permutation
Toufik Mansour, Alek Vainshtein
Counting triangulations of some classes of subdivided convex polygons
Andrei Asinowski, Christian Krattenthaler, Toufik Mansour
Modelling x-ray tomography using integer compositions
Aubrey Blecher, Toufik Mansour
Independent sets in certain classes of (almost) regular graphs
Alexander Burstein, Sergey Kitaev, Toufik Mansour
Separable d-permutations and guillotine partitions
Andrei Asinowski, Toufik Mansour
Counting descent pairs with prescribed colors in the colored permutation groups
Eli Bagno, David Garber, Toufik Mansour
Squaring the terms of an $\ell^{th}$ order linear recurrence
Toufik Mansour
Partially ordered patterns and compositions
Silvia Heubach, Sergey Kitaev, Toufik Mansour
132-avoiding Two-stack Sortable Permutations, Fibonacci Numbers, and Pell Numbers
Eric S. Egge, Toufik Mansour
Evaluation of spherical GJMS determinants
Toufik Mansour, J. S. Dowker
Restricted ascent sequences and Catalan numbers
David Callan, Toufik Mansour, Mark Shattuck
Combinatorial Gray codes for classes of pattern avoiding permutations
W. M. B. Dukes, Mark F. Flanagan, Toufik Mansour +1
Counting rises, levels, and drops in compositions
Silvia Heubach, Toufik Mansour
Restricted even permutations and Chebyshev polynomials
Toufik Mansour
Motzkin numbers of higher rank: Generating function and explicit expression
Toufik Mansour, Matthias Schork, Yidong Sun
Five subsets of permutations enumerated as weak sorting permutations
David Callan, Toufik Mansour
Enumerating permutations avoiding a pair of Babson-Steingrimsson patterns
Anders Claesson, Toufik Mansour
Matchings Avoiding Partial Patterns
William Y. C. Chen, Toufik Mansour, Sherry H. F. Yan
Restricted Stirling permutations
David Callan, Shi-Mei Ma, Toufik Mansour
Counting subwords in flattened permutations
Toufik Mansour, Mark Shattuck, David G. L. Wang
Enumeration of small Wilf classes avoiding 1342 and two other $4$-letter patterns
David Callan, Toufik Mansour
Bilinear Forms on Skein Modules and Steps in Dyck Paths
Xuanting Cai, Toufik Mansour
On pattern-avoiding partitions
Vit Jelinek, Toufik Mansour
Wilf classification of triples of 4-letter patterns
David Callan, Toufik Mansour, Mark Shattuck
Some combinatorial arrays related to the Lotka-Volterra system
Shi-Mei Ma, Toufik Mansour, David Callan
A characterization of horizontal visibility graphs and combinatorics on words
Gregory Gutin, Toufik Mansour, Simone Severini
A note on sum of k-th power of Horadam's sequence
Toufik Mansour
Counting descents, rises, and levels, with prescribed first element, in words
Sergey Kitaev, Toufik Mansour, Jeffrey B. Remmel
Counting paths in Bratteli diagrams for SU(2)_k
Toufik Mansour, Simone Severini
Involutions Restricted by 3412, Continued Fractions, and Chebyshev Polynomials
Eric Egge, Toufik Mansour
On the number of combinations without certain separations
Toufik Mansour, Yidong Sun
A $q$-Digital Binomial Theorem
Toufik Mansour, Hieu D. Nguyen
Refined Restricted Permutations Avoiding Subsets of Patterns of Length Three
Toufik Mansour, Aaron Robertson
Finite automata and pattern avoidance in words
Petter Brändén, Toufik Mansour
Generalizations of some identities involving the fibonacci numbers
Toufik Mansour
Generalized q-Calkin-Wilf trees and c-hyper m-expansions of integers
Toufik Mansour, Mark Shattuck
Chebyshev Polynomials and Statistics on a New Collection of Words in the Catalan Family
Toufik Mansour, Mark Shattuck
On Linear Differential Equations Involving a Para-Grassmann Variable
Toufik Mansour, Matthias Schork
Congruence successions in compositions
Toufik Mansour, Mark Shattuck, Mark C. Wilson
231-Avoiding Involutions and Fibonacci Numbers
Eric S. Egge, Toufik Mansour
A notion of graph likelihood and an infinite monkey theorem
Christopher R. S. Banerji, Toufik Mansour, Simone Severini
On the normal ordering of multi-mode boson operators
Toufik Mansour, Matthias Schork
Some enumerative results related to ascent sequences
Toufik Mansour, Mark Shattuck
Restricted Dumont permutations, Dyck paths, and noncrossing partitions
Alexander Burstein, Sergi Elizalde, Toufik Mansour
Wick's theorem for q-deformed boson operators
Toufik Mansour, Matthias Schork, Simone Severini
Log-Concavity of Combinations of Sequences and Applications to Genus Distributions
Jonathan L. Gross, Toufik Mansour, Thomas W. Tucker +1
Bell Polynomials and $k$-generalized Dyck Paths
Toufik Mansour, Yidong Sun
Partial transpose of permutation matrices
Qing-Hu Hou, Toufik Mansour, Simone Severini
Words restricted by patterns with at most 2 distinct letters
Alexander Burstein, Toufik Mansour
The 1/k-Eulerian polynomials and k-Stirling permutations
Shi-Mei Ma, Toufik Mansour
Enumeration of $(k,2)$-noncrossing partitions
Toufik Mansour, Simone Severini
Words restricted by 3-letter generalized multipermutation patterns
Alexander Burstein, Toufik Mansour
Symmetric Schroder paths and restricted involutions
Eva Y. P. Deng, Mark Dukes, Toufik Mansour +1
Restricted Permutations, Fibonacci Numbers, and k-generalized Fibonacci Numbers
Eric S. Egge, Toufik Mansour
On the group of alternating colored permutations
Eli Bagno, David Garber, Toufik Mansour
Noncrossing normal ordering for functions of boson operators
Toufik Mansour, Matthias Schork, Simone Severini
Dyck paths with coloured ascents
Andrei Asinowski, Toufik Mansour
A comment on Ryser's conjecture for intersecting hypergraphs
Toufik Mansour, Chunwei Song, Raphael Yuster
Some families of density matrices for which separability is easily tested
Samuel L. Braunstein, Sibasish Ghosh, Toufik Mansour +2
$q$-Bernstein functions and applications
Valmir Krasniqi, Toufik Mansour
Recursions for Excedance number in some permutations groups
Eli Bagno, David Garber, Toufik Mansour +1
Some recursive formulas for Selberg-type integrals
Sergio Iguri, Toufik Mansour