Toufik Mansour | Academic Influence

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Toufik Mansour

Mathematics

#2998

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#4513

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Combinatorics

#42

World Rank

#47

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Number Theory

#138

World Rank

#183

Historical Rank

Measure Theory

#1803

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#2207

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Mathematics

Toufik Mansour's Degrees

PhD Mathematics University of Haifa
Masters Mathematics University of Haifa
Bachelors Mathematics University of Haifa

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Why Is Toufik Mansour Influential?

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According to Wikipedia, Toufik Mansour is an Israeli mathematician working in algebraic combinatorics. He is a member of the Druze community and is the first Israeli Druze to become a professional mathematician. Mansour obtained his Ph.D. in mathematics from the University of Haifa in 2001 under Alek Vainshtein. As of 2007, he is a professor of mathematics at the University of Haifa. He served as chair of the department from 2015 to 2017. He has previously been a faculty member of the Center for Combinatorics at Nankai University from 2004 to 2007, and at The John Knopfmacher Center for Applicable Analysis and Number Theory at the University of the Witwatersrand.

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Toufik Mansour's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Combinatorics of Compositions and Words (2009) (177)
Combinatorics of Set Partitions (2012) (129)
Restricted 132-Avoiding Permutations (2000) (103)
A characterization of horizontal visibility graphs and combinatorics on words (2010) (90)
Commutation Relations, Normal Ordering, and Stirling Numbers (2015) (80)
Restricted Permutations, Continued Fractions, and Chebyshev Polynomials (1999) (78)
Compositions of n with parts in a set, Thirty-Fifth Southeastern International Conference on Combina (2003) (63)
The vertex PI index and Szeged index of bridge graphs (2009) (61)
Restricted permutations and Chebyshev polynomials. (2000) (55)
Staircase tilings and k-Catalan structures (2008) (54)
Counting occurrences of some subword patterns (2002) (53)
Counting Occurrences of 132 in a Permutation (2002) (52)
Words Restricted by Patterns with at Most 2 Distinct Letters (2001) (48)
Identities involving Narayana polynomials and Catalan numbers (2008) (47)
On Pattern-Avoiding Partitions (2007) (45)
On a New Family of Generalized Stirling and Bell Numbers (2011) (44)
Umbral calculus and Sheffer sequences of polynomials (2013) (44)
Further extended Caputo fractional derivative operator and its applications (2017) (44)
Counting peaks at height k in a Dyck path (2002) (43)
A formula for the generating functions of powers of Horadam's sequence (2004) (42)
Counting occurrences of a pattern of type (1, 2) or (2, 1) in permutations (2001) (42)
Pattern avoidance in inversion sequences (2015) (41)
Layered Restrictions and Chebyshev Polynomials (2000) (41)
Kernel method and linear recurrence system (2008) (39)
Some families of density matrices for which separability is easily tested (10 pages) (2005) (38)
Statistics on Dyck Paths (2006) (38)
Words Restricted by 3-Letter Generalized Multipermutation Patterns (2001) (38)
SOME INEQUALITIES FOR THE q-DIGAMMA FUNCTION (2009) (38)
Enumerating Permutations Avoiding A Pair Of Babson-Steingrimsson Patterns (2001) (38)
Wiener, hyper-Wiener, detour and hyper-detour indices of bridge and chain graphs (2009) (37)
Combinatorial Identities and Inverse Binomial Coefficients (2002) (37)
Restricted 132-Alternating Permutations and Chebyshev Polynomials (2002) (35)
Umbral calculus associated with Frobenius-type Eulerian polynomials (2014) (33)
The PI index of bridge and chain graphs (2009) (33)
Log-Concavity of Combinations of Sequences and Applications to Genus Distributions (2014) (33)
Permutations avoiding a pattern from Sk and at least two patterns from S3 (2000) (31)
Estrada index and Chebyshev polynomials (2008) (30)
Avoiding patterns of length three in compositions and multiset permutations (2006) (30)
Relating Estrada index with spectral radius (2007) (30)
Finite automata and pattern avoidance in words (2003) (30)
The q-Calkin-Wilf tree (2011) (29)
AVOIDING 2-LETTER SIGNED PATTERNS (2002) (29)
The Generalized Stirling and Bell Numbers Revisited (2012) (29)
Bell polynomials and k-generalized Dyck paths (2008) (28)
Packing Patterns into Words (2002) (28)
PATTERN AVOIDANCE IN COLOURED PERMUTATIONS (2001) (28)
Counting rises, levels, and drops in compositions. (2003) (27)
The 1/k-Eulerian polynomials and k-Stirling permutations (2014) (26)
Restricted 1-3-2 Permutations and Generalized Patterns (2001) (26)
A Comment on Ryser’s Conjecture for Intersecting Hypergraphs (2007) (26)
Three-Letter-Pattern-Avoiding Permutations and Functional Equations (2006) (25)
Combinatorial Gray codes for classes of pattern avoiding permutations (2007) (25)
Modified approach to generalized Stirling numbers via differential operators (2010) (25)
Restricted Motzkin permutations, Motzkin paths, continued fractions, and Chebyshev polynomials (2005) (24)
Protected points in k-ary trees (2011) (24)
The commutation relation xy=qyx+hf(y) and Newton’s binomial formula (2011) (23)
Partially Ordered Generalized Patterns and k-ary Words (2002) (23)
NORMS OF CIRCULANT AND SEMICIRCULANT MATRICES WITH HORADAM ’ S NUMBERS (2007) (22)
Permutations Which Avoid 1243 and 2143, Continued Fractions, and Chebyshev Polynomials (2002) (22)
Counting derangements, involutions and unimodal elements in the wreath product Cr ≀ Sn (2010) (22)
2-Binary trees: Bijections and related issues (2008) (22)
Enumeration of (k, 2)-noncrossing partitions (2008) (21)
Pattern avoidance in matrices (2005) (21)
RESTRICTED 132-INVOLUTIONS (2002) (20)
Enumeration of 3-letter patterns in compositions (2006) (20)
Some monotonicity properties and inequalities for ¡ and ‡ - functions (2010) (20)
Refined Restricted Permutations Avoiding Subsets of Patterns of Length Three (2002) (19)
A general two-term recurrence and its solution (2012) (19)
A new combinatorial interpretation of a $q$-analogue of the Lah numbers (2011) (19)
Some enumerative results related to ascent sequences (2012) (19)
Avoiding maximal parabolic subgroups of Sk (2000) (19)
Counting Subwords in a Partition of a Set (2010) (18)
Generating the Peano Curve and Counting Occurrences of some Patterns (2002) (18)
Motzkin numbers of higher rank: Generating function and explicit expression (2007) (18)
A generalization of the $r$-Whitney numbers of the second kind (2017) (17)
Separable d-Permutations and Guillotine Partitions (2008) (17)
Permutations Containing and Avoiding Certain Patterns (1999) (17)
Coloured Permutations Containing and Avoiding Certain Patterns (2001) (17)
Orders Induced by Segments in Floorplans and (2 - 14 - 3, 3 - 41 - 2)-Avoiding Permutations (2013) (17)
Embedding Distributions of Generalized Fan Graphs (2013) (17)
Simultaneous Avoidance Of Generalized Patterns (2002) (17)
Counting l-letter subwords in compositions (2006) (17)
A generalization of boson normal ordering (2006) (17)
Continued Fractions and Generalized Patterns (2001) (16)
Partial duality for ribbon graphs, I: Distributions (2020) (16)
On Λ2-strong convergence of numerical sequences and Fourier series (2013) (16)
Wick's theorem for q-deformed boson operators (2007) (16)
Convergence of $$\lambda $$ λ -Bernstein operators via power series summability method (2020) (15)
The PI Index of Polyomino Chains of 4k-Cycles (2010) (15)
Some Statistics on Restricted 132 Involutions (2002) (15)
Bargraph statistics on words and set partitions (2017) (15)
A Carlitz identity for the wreath product Cr≀Sn (2011) (15)
Restricted 132-avoiding k-ary words, Chebyshev polynomials, and continued fractions (2006) (15)
132-avoiding two-stack sortable permutations, Fibonacci numbers, and Pell numbers (2002) (14)
On the X-rays of permutations (2005) (14)
On multiple pattern avoiding set partitions (2013) (14)
Counting corners in compositions and set partitions presented as bargraphs (2018) (14)
Two further generalizations of the Calkin–Wilf tree (2011) (14)
Records in Set Partitions (2010) (14)
Hilbert Spaces and Linear Operators (2015) (14)
Restricted permutations, continued fractions, and Chebyshev polynomials, Electron (2008) (13)
Grid polygons from permutations and their enumeration by the kernel method (2006) (13)
Dyck paths and restricted permutations (2006) (13)
On the number of combinations without certain separations (2008) (13)
321-Polygon-Avoiding Permutations and Chebyshev Polynomials (2002) (13)
Dyck paths and partial Bell polynomials (2008) (13)
A statistic on n-color compositions and related sequences (2014) (13)
Wilf classification of triples of 4-letter patterns II (2016) (13)
Dyck paths with coloured ascents (2007) (13)
Embedding Distributions and Chebyshev Polynomials (2012) (13)
K-GENERALIZED FIBONACCI NUMBERS (2005) (13)
On multi-avoidance of generalized patterns (2002) (13)
Three Hoppy path problems and ternary paths (2008) (13)
On the normal ordering of multi-mode boson operators (2008) (13)
Pattern avoidance in flattened permutations (2011) (13)
Calculating genus polynomials via string operations and matrices (2018) (13)
Restricted Dumont permutations, Dyck paths, and noncrossing partitions (2006) (13)
Counting subwords in flattened partitions of sets (2015) (12)
231-Avoiding involutions and Fibonacci numbers (2002) (12)
Some Properties of Kantorovich-Stancu-Type Generalization of Szász Operators including Brenke-Type Polynomials via Power Series Summability Method (2020) (12)
THE q-DEFORMED GAMMA FUNCTION AND q-DEFORMED POLYGAMMA FUNCTION (2014) (12)
Log-concavity of genus distributions of ring-like families of graphs (2014) (12)
Continued Fractions, Statistics, And Generalized Patterns (2001) (12)
The and (,)-Analogs of Zagreb Indices and Coindices of Graphs (2012) (12)
Total Embedding Distributions of Circular Ladders (2013) (11)
Counting humps and peaks in generalized Motzkin paths (2013) (11)
New Sharp Lower Bounds for the First Zagreb Index (2016) (11)
Combinatorial methods and recurrence relations with two indices (2006) (11)
Interior vertices in set partitions (2018) (11)
Restricted 132-Dumont permutations (2002) (11)
Gray Codes, Loopless Algorithm and Partitions (2008) (11)
On the bounds of the forgotten topological index (2017) (11)
A q-analog of a general rational sum identity (2013) (11)
Some monotonicity properties and inequalities for $\Gamma$ and $\zeta$ - functions (2010) (11)
Recurrences for the genus polynomials of linear sequences of graphs (2020) (11)
Matchings Avoiding Partial Patterns (2005) (11)
Correcting a paper on the Randi{\'c} and geometric--arithmetic indices (2017) (11)
Linear differential equations for families of polynomials (2016) (10)
Identities on harmonic and q-harmonic number sums (2012) (10)
Wilf-Equivalence on k-ary Words, Compositions, and Parking Functions (2009) (10)
The generalized Touchard polynomials revisited (2013) (10)
ON THE DIFFERENCE EQUATION OF HIGHER ORDER (2012) (10)
Genus distributions of star-ladders (2012) (10)
Iterated claws have real-rooted genus polynomials (2015) (10)
Convergence of (cid:2) -Bernstein operators via power series summability method (2020) (10)
A GARDEN OF k-CATALAN STRUCTURES (2006) (10)
Efficient generation of restricted growth words (2013) (10)
Enumeration of Partitions by Long Rises , Levels , and Descents (2009) (10)
Generalizations of some identities involving the Fibonacci numbers (2003) (10)
A combinatorial approach to a general two-term recurrence (2013) (10)
Partially ordered patterns and compositions (2006) (9)
Some inequalities for q-polygamma function andq -Riemann zeta functions (2010) (9)
On the genus distributions of wheels and of related graphs (2018) (9)
Counting occurrences of 132 in an even permutation (2002) (9)
On the Stirling numbers associated with the meromorphic Weyl algebra (2012) (9)
Permutation Patterns: Enumeration of partitions by rises, levels and descents (2009) (9)
On an open problem of Green and Losonczy: exact enumeration of freely braided permutations (2004) (9)
Degenerate Mittag-Leffler polynomials (2016) (9)
Counting corners in partitions (2016) (9)
A Parametric Generalization of the Baskakov-Schurer-Szász-Stancu Approximation Operators (2021) (9)
New equivalences for pattern avoiding involutions (2007) (8)
Evaluation of spherical GJMS determinants (2014) (8)
A generalized class of restricted Stirling and Lah numbers (2018) (8)
Combinatorial conjectures that imply local log-concavity of graph genus polynomials (2016) (8)
Longest Alternating Subsequences in Pattern-Restricted Permutations (2007) (8)
A Wilf Class Composed of 7 Symmetry Classes of Triples of 4-Letter Patterns (2017) (8)
Norms of circulant and semicirculant matrices and Horadams sequence (2007) (8)
Counting Descents, Rises, and Levels, with Prescribed First Element, in Words (2006) (8)
Log-concavity of the genus polynomials of Ringel Ladders (2015) (8)
Staircase words and Chebyshev polynomials (2010) (8)
Squaring the terms of an ℓth order linear recurrence (2003) (8)
Counting permutations by the number of successions within cycles (2016) (7)
Enumerations on bargraphs (2019) (7)
Nine classes of permutations enumerated by binomial transform of Fine's sequence (2017) (7)
Interior vertices and edges in bargraphs (2019) (7)
On the normal ordering of multi-mode boson operators (2007) (7)
Some inequalities for the -digamma function. (2009) (7)
EQUIDISTRIBUTION AND SIGN-BALANCE ON 132-AVOIDING PERMUTATIONS (2004) (7)
A notion of graph likelihood and an infinite monkey theorem (2013) (7)
On moments of the integrated exponential Brownian motion (2015) (7)
are k-Fibonacci numbers (2012) (7)
On Ballistic Deposition Process on a Strip (2019) (7)
Root geometry of polynomial sequences II: Type (1,0) (2015) (7)
Counting water cells in bargraphs of compositions and set partitions (2018) (7)
Degenerate poly-Cauchy polynomials (2015) (7)
q -Analogs of Identities Involving Harmonic Numbers and Binomial Coefficients (2012) (7)
A Digital Binomial Theorem for Sheffer Sequences (2015) (7)
Generalization of some inequalities for the (q_1, . . . , q_s)-gamma function (2012) (7)
A $q$-Digital Binomial Theorem (2015) (7)
Set partitions with circular successions (2014) (7)
Minimal permutations with d descents (2010) (7)
Combinatorics of Compositions and Words: Solutions Manual (2009) (7)
Restricted 132-Involutions and Chebyshev Polynomials (2002) (7)
On permutations avoiding 1324, 2143, and another 4-letter pattern (2017) (7)
Representing elements of the Weyl algebra by labeled trees (2013) (7)
Restricted Permutations, Fibonacci Numbers, and k-generalized Fibonacci Numbers (2002) (7)
A $$q$$-analog of the hyperharmonic numbers (2014) (7)
Root geometry of polynomial sequences I: Type $(0,1)$ (2015) (7)
Counting subwords in flattened permutations (2013) (7)
Longest alternating subsequences of k-ary words (2008) (7)
Restricted ascent sequences and Catalan numbers (2014) (7)
Five subsets of permutations enumerated as weak sorting permutations (2016) (7)
Noncrossing Normal Ordering for Functions of Boson Operators (2006) (7)
Parity successions in set partitions (2013) (7)
Set partition asymptotics and a conjecture of Gould and Quaintance (2014) (7)
Counting Ordered Patterns in Words Generated by Morphisms (2008) (7)
The perimeter of words (2017) (7)
Alternating Eulerian polynomials and left peak polynomials (2021) (7)
Record statistics in a random composition (2012) (7)
Permutations avoiding 312 and another pattern, Chebyshev polynomials and longest increasing subsequences (2018) (7)
On Linear Differential Equations Involving a Para-Grassmann Variable (2009) (7)
Loop-free Gray code algorithm for the e-restricted growth functions (2011) (6)
The kernel method and systems of functional equations with several conditions (2011) (6)
Barnes-type Daehee with λ-parameter and degenerate Euler mixed-type polynomials (2015) (6)
On Poly-Bernoulli polynomials of the second kind with umbral calculus viewpoint (2015) (6)
Smooth partitions and Chebyshev polynomials (2009) (6)
Loop-Free Gray Code Algorithms for the Set of Compositions (2010) (6)
q-Stern Polynomials as Numerators of Continued Fractions (2015) (6)
Restricted partitions and q-Pell numbers (2011) (6)
Matchings and Partial Patterns (2010) (6)
On permutations avoiding 1243, 2134, and another 4-letter pattern (2017) (6)
Some recursive formulas for Selberg-type integrals (2009) (6)
Counting occurrences of 231 in an involution (2006) (6)
Apostol-Euler polynomials arising from umbral calculus (2013) (6)
Partial duality for ribbon graphs, II: Partial-twuality polynomials and monodromy computations (2021) (6)
Enumeration of words by the sum of differences between adjacent letters (2009) (6)
On linear differential equations with variable coefficients involving a para-Grassmann variable (2010) (6)
An identity involving Narayana numbers (2008) (6)
Twelve subsets of permutations enumerated as maximally clustered permutations (2017) (6)
Combinatorial parameters on bargraphs of permutations (2018) (6)
On the complete monotonicity of quotient of gamma functions (2012) (6)
Pattern-Avoiding Set Partitions and Catalan Numbers (2012) (6)
A Recurrence Related to the Bell Numbers (2011) (6)
Restricted k-ary words and functional equations (2009) (6)
Recurrence relations with two indices and even trees (2007) (6)
Generalized q-Calkin-Wilf trees and c-hyper m-expansions of integers (2015) (6)
Counting Dyck Paths According to the Maximum Distance Between Peaks and Valleys (2012) (6)
Recursions for Excedance number in some permutations groups (2007) (6)
Set partitions as geometric words (2012) (6)
Polynomials whose coefficients are k-Fibonacci numbers (2012) (5)
Identities for Sums of a q-Analogue of Polylogarithm Functions (2009) (5)
Recurrence relations for patterns of type (2,1) in flattened permutations (2013) (5)
Polynomials whose coefficients are generalized Tribonacci numbers (2013) (5)
EXCEDANCE NUMBER FOR INVOLUTIONS IN COMPLEX REFLECTION GROUPS (2006) (5)
Several variants of the Dumont differential system and permutation statistics (2014) (5)
Equivalence classes of permutations modulo excedances (2014) (5)
Nonlinear differential equation for Korobov numbers (2016) (5)
Elements protected by records in set partitions (2018) (5)
Counting paths in Bratteli diagrams for SU(2)k (2008) (5)
Degenerate Poly-Bernoulli polynomials of the second kind (2016) (5)
Counting permutations by cyclic peaks and valleys (2014) (5)
Normal ordering problem and the extensions of the Stirling grammar (2013) (5)
On the Bounds of the First Reformulated Zagreb Index (2016) (5)
Cut equivalence of d-dimensional guillotine partitions (2014) (5)
On the general zeroth-order Randić index of bargraphs (2019) (5)
Alternating subsets modulo $m$ (2012) (5)
FULLY DEGENERATE POLY-BERNOULLI POLYNOMIALS WITH A q PARAMETER (2016) (5)
Wilf classification of three and four letter signed patterns (2006) (5)
TUTTE POLYNOMIALS OF WHEELS VIA GENERATING FUNCTIONS (2013) (5)
Tsallis p,q-deformed Touchard polynomials and Stirling numbers (2017) (5)
Average norms of polynomials (2002) (5)
A new class of sum rules for products of Bessel functions (2010) (5)
COUNTING DESCENT PAIRS WITH PRESCRIBED COLORS IN THE COLORED PERMUTATION GROUPS (2007) (5)
A polynomial generalization of some associated sequences related to set partitions (2017) (5)
ENUMERATING SET PARTITIONS BY THE NUMBER OF POSITIONS BETWEEN ADJACENT OCCURRENCES OF A LETTER (2010) (4)
Chebyshev polynomials and statistics on a new collection of words in the Catalan family (2014) (4)
Barnes-type Peters polynomial with umbral calculus viewpoint (2014) (4)
ON THE (r, q)-BERNOULLI AND (r, q)-EULER NUMBERS AND POLYNOMIALS (2014) (4)
Powers under umbral composition and degeneration for Sheffer sequences (2016) (4)
Enumeration of small Wilf classes avoiding 1342 and two other 4-letter patterns (2017) (4)
Restricted even permutations and Chebyshev polynomials (2003) (4)
Differential equations for p, q-Touchard polynomials (2016) (4)
Enumeration of Gap-Bounded Set Partitions (2009) (4)
Counting independent sets in certain classes of (almost) regular graphs (2003) (4)
Counting triangulations of some classes of subdivided convex polygons (2016) (4)
Horse paths, restricted 132-avoiding permutations, continued fractions, and Chebyshev polynomials (2006) (4)
Avoiding permutation patterns of type (2, 1) in compositions (2008) (4)
Linear recurrences and Chebyshev polynomials (2005) (4)
On the Complementary Equienergetic Graphs. (2019) (4)
Bivariate generating functions for involutions restricted by 3412 (2006) (4)
Compositions of n as alternating sequences of weakly increasing and strictly decreasing partitions (2012) (4)
Smooth compositions and smooth words (2012) (4)
Restricted partitions and generalized Catalan numbers (2012) (4)
Statistics on Bargraphs of Catalan Words (2021) (4)
321-Avoiding Permutations and Chebyshev Polynomials (2004) (4)
Convex polyominoes revisited: enumeration of outer site perimeter, interior vertices, and boundary vertices of certain degrees (2020) (4)
The enumeration of permutations whose posets have a maximum element (2006) (4)
Barnes-type degenerate Euler polynomials (2015) (4)
Permutations Restricted By Patterns Of Type (2, 1) (2004) (4)
Permutations Containing A Pattern Exactly Once And Avoiding At Least Two Patterns Of Three Letters (2002) (4)
Kernel method and system of functional equations (2009) (4)
Finite Automata, Probabilistic Method, and Occurrence Enumeration of a Pattern in Words and Permutations (2019) (4)
Degenerate poly-Bernoulli polynomials with umbral calculus viewpoint (2015) (4)
On a (r, s)-Analogue of Changhee and Daehee Numbers and Polynomials (2015) (4)
A SHORT NOTE ON HYPER ZAGREB INDEX (2017) (4)
A WILF CLASS COMPOSED OF 19 SYMMETRY CLASSES OF QUADRUPLES OF 4-LETTER PATTERNS (2016) (3)
Separation of the maxima in samples of geometric random variables (2011) (3)
Partial matchings and pattern avoidance (2013) (3)
Adjoint polynomials of bridge-path and bridge-cycle graphs and Chebyshev polynomials (2011) (3)
Noncrossing normal ordering for functions of bosons (2006) (3)
Permutation Patterns and Cell Decompositions (2018) (3)
Partial duality for ribbon graphs, III: a Gray code algorithm for enumeration (2021) (3)
Signed Involutions Avoiding 2-Letter Signed Patterns (2007) (3)
Valence-partitioned genus polynomials and their application to generalized dipoles (2017) (3)
Enumeration of small Wilf classes avoiding 1324 and two other 4-letter patterns (2017) (3)
Some Combinatorial Arrays Related to the Lotka-Volterra System (2014) (3)
The Problem of the Pawns (2003) (3)
Enumerating circular permutations avoiding the vincular pattern 23 4 1 (2021) (3)
Some results on the avoidance of vincular patterns by multisets (2015) (3)
Some identities for derangement and Ward number sequences and related bijections (2015) (3)
COUNTING THE OCCURRENCES OF GENERALIZED PATTERNS IN WORDS GENERATED BY A MORPHISM (2002) (3)
EXCEDANCE NUMBERS FOR PERMUTATIONS IN COMPLEX REFLECTION GROUPS (2007) (3)
Elements of the sets enumerated by super-Catalan numbers (2005) (3)
Enumerating set partitions according to the number of descents of size d or more (2012) (3)
Counting visible levels in bargraphs and set partitions (2019) (3)
Restricted permutations and polygons (2005) (3)
On q-deformed generalized Touchard polynomials (2015) (3)
On the Group of Alternating Colored Permutations (2014) (3)
Enumerations of bargraphs with respect to corner statistics (2018) (3)
Ascent Sequences and Fibonacci Numbers (2015) (3)
Longest increasing subsequences in involutions avoiding patterns of length three (2019) (3)
Matchings Avoiding Partial Patterns and Lattice Paths (2006) (3)
Partitions of a set satisfying certain set of conditions (2009) (3)
Pattern avoiding partitions and Motzkin left factors (2011) (3)
Restricted Stirling permutations (2016) (3)
Orders induced by segments in floorplan partitions and (2-14-3,3-41-2)-avoiding permutations (2010) (3)
Enumerating finite set partitions according to the number of connectors (2012) (3)
Horizontal visibility graph of a random restricted growth sequence (2019) (3)
Shedding light on words (2017) (3)
Log‐concavity of genus distributions for circular ladders (2015) (3)
Approximation by Modified Meyer–König and Zeller Operators via Power Series Summability Method (2020) (3)
Durfee squares in compositions (2018) (3)
Recurrence relations in counting the pattern 13-2 in flattened permutations (2014) (3)
Packing a binary pattern in compositions (2011) (3)
Longest alternating subsequences in pattern-restricted k-ary words (2008) (3)
Set partitions and parity successions (2017) (2)
Statistics on bargraphs of inversion sequences of permutations (2022) (2)
Approximation by a power series summability method of Kantorovich type Szász operators including Sheffer polynomials (2021) (2)
On avoidance of numbered polyomino patterns (2003) (2)
Harary index of bipartite graphs (2019) (2)
Gamma function, Beta function and combinatorial identities (2001) (2)
Recursions for the flag-excedance number in colored permutations groups (2015) (2)
New bounds on the hyper-Zagreb index for the simple connected graphs (2018) (2)
On the Differential Equation of First and Second Order in the Zeon Algebra (2021) (2)
On the real-rootedness of generalized Touchard polynomials (2015) (2)
More on inverse degree and topological indices of graphs (2018) (2)
Partitions according to multiplicities and part sizes (2016) (2)
COUNTING STAIRCASES IN INTEGER COMPOSITIONS (2016) (2)
GENERALIZED BELL NUMBERS AND ALGEBRAIC DIFFERENTIAL EQUATIONS (2012) (2)
Counting Peaks and Valleys in a Partition of a Set (2010) (2)
Enumeration of various animals on the triangular lattice (2020) (2)
The site-perimeter of words (2017) (2)
Further enumeration results concerning a recent equivalence of restricted inversion sequences (2022) (2)
Restricted Dyck Paths on Valleys Sequence (2021) (2)
Enumeration and Wilf-classification of permutations avoiding five patterns of length 4 (2020) (2)
Restricted permutations by patterns of type $(2,1)$ (2002) (2)
Korobov Polynomials of the Fifth Kind and of the Sixth Kind (2016) (2)
The Perimeter of 2-Compositions (2020) (2)
On the maximal independence polynomial of certain graph configurations (2017) (2)
Genus polynomials of ladder-like sequences of graphs (2019) (2)
Involutions Restricted by 3412, Continued Fractions, and Chebyshev Polynomials (2004) (2)
Block-connected set partitions (2010) (2)
Free rises, restricted partitions, and q-Fibonacci polynomials (2013) (2)
Counting 1 × 2 rectangles in set partitions (2019) (2)
Fixed points of a random restricted growth sequence (2020) (2)
Bilinear forms on skein modules and steps in Dyck paths (2010) (2)
On Column-Convex and Convex Carlitz Polyominoes (2021) (2)
Enumeration of compositions according to the sum of the values of the first letters of the occurrenc (2014) (2)
On a Close Relative of the Quantum Plane (2018) (2)
COUNTING INDEPENDENT SETS IN SOME CLASSES OF (ALMOST) REGULAR GRAPHS (2009) (2)
Counting Lattice Points on Bargraphs of Catalan Words (2021) (2)
Pattern restricted Stirling k-ary words, the plateau statistic and the kernel method (2016) (2)
Visibility in pattern-restricted permutations (2020) (2)
New equivalences for pattern avoidance for involutions (2007) (2)
On Cauchy-Euler’s differential equation involving a para-Grassmann variable (2018) (2)
On Stanley-Wilf limit of the pattern 1324 (2021) (2)
Protected cells in bargraphs (2019) (2)
SMOOTH WORDS AND CHEBYSHEV POLYNOMIALS (2008) (2)
Catalan numbers and pattern restricted set partitions (2012) (2)
Congruence successions in compositions (2013) (2)
A short note on inverse sum indeg index of graphs (2019) (2)
A monotonicity property for generalized Fibonacci sequences (2014) (2)
The longest increasing subsequence in involutions avoiding 3412 and another pattern (2020) (2)
Enumeration of 2-Wilf Classes of Four 4-letter Patterns (2017) (2)
Permutations avoiding a pair of generalized patterns of the form x-yz or xy-z (2001) (2)
C O ] 1 7 N ov 2 00 0 RESTRICTED PERMUTATIONS AND CHEBYSHEV POLYNOMIALS (2000) (2)
Symmetric Schröder paths and restricted involutions (2008) (1)
The Perimeter and Site-Perimeter of Set Partitions (2019) (1)
Variation Statistics on Compositions (2012) (1)
Chebychev Polynomials of the Second Kind (2009) (1)
Log-concavity of the genus polynomials for a sequence of cubic Halin graphs (2014) (1)
On a conjecture of Lin and Kim concerning a refinement of Schröder numbers (2021) (1)
Ascents of size less than d in compositions (2011) (1)
Extremal graphs on geometric‐arithmetic index of tetracyclic chemical graphs (2020) (1)
On avoidance of patterns of the form {\sigma}-{\tau} by words over a finite alphabet (2014) (1)
Geometrically distributed Stirling words and Stirling compositions (2018) (1)
On the degeneracy of SU(3)k topological phases (2010) (1)
Circular bargraphs (2019) (1)
Pattern occurrences in k-ary words revisited: A few new and old observations (2021) (1)
New refined enumerations of set partitions related to sorting (2018) (1)
Compositions as non-alternating sequences of partitions (2013) (1)
A note on sum of k-th power of Horadam's sequence (2003) (1)
On avoidance of patterns of the form σ-τ by words over a finite alphabet (2015) (1)
The Depth of Compositions (2020) (1)
Shifting powers in Spivey’s Bell number formula (2020) (1)
An algorithmic approach based on generating trees for enumerating pattern-avoiding inversion sequences (2022) (1)
RESTRICTED PERMUTATIONS AND CHEBYSHEV (2002) (1)
The Descent Statistic on Signed Simsun Permutations (2016) (1)
A new weighted statistical convergence and some associated approximation theorems (2022) (1)
Alphabetic points in restricted growth functions (2022) (1)
Inequalities for Weierstrass products (2002) (1)
Two by two squares in set partitions (2020) (1)
Enumeration of permutations avoiding a triple of 4-letter patterns is all done (2017) (1)
Visibility in non-crossing and non-nesting partitions (2021) (1)
Gini index on generalized r-partitions (2022) (1)
On the Merrifield-Simmons index of tricyclic graphs (2022) (1)
On some q -Pascal’s like triangles (2016) (1)
The solution of the recurrence relation f n (t)=a n (t) f n−1(t)−b n (t)(∂/∂t) f n−1(t) (2009) (1)
Recurrence relation with two indices and plane compositions (2011) (1)
On the second order differential equation involving two ordinary and one para-Grassmann variable (2020) (1)
RATIONAL IDENTITIES AND INEQUALITIES (2004) (1)
Generalizations of Two Statistics on Linear Tilings (2012) (1)
Counting occurrences of subword patterns in non-crossing partitions (2022) (1)
Counting set partitions by the number of movable letters (2020) (1)
Avoidance of partially ordered patterns in compositions (2007) (1)
Counting triangulations of balanced subdivisions of convex polygons (2016) (1)
A Decomposition of Column-Convex Polyominoes and Two Vertex Statistics (2022) (1)
On a combinatorial problem in botanical epidemiology (2016) (1)
Restricted 123-avoiding Baxter permutations and the Padovan numbers (2007) (1)
Recurrence Relations and Two-Dimensional Set Partitions (2011) (1)
On conjecture of Merrifield-Simmons index (2021) (1)
A Decomposition of Column-Convex Polyominoes and Two Vertex Statistics (2022) (1)
Counting occurences of 132 in a permutation (2001) (1)
Passing through a stack k times (2017) (1)
On the n-vertex trees with sixth to fifteenth maximum harmonic indices (2019) (1)
Passing through a stack k times with reversals (2018) (1)
Height of records in partitions of a set (2019) (1)
Permutations avoiding a set of patterns from S_3 and a pattern from S_4 (1999) (1)
Counting rises and levels in r-color compositions (2017) (1)
Counting Stirling permutations by number of pushes (2020) (1)
Enumeration of 3- and 4-Wilf classes of four 4-letter patterns (2018) (1)
Some combinatorial identities of the r-Whitney-Eulerian numbers (2019) (1)
A short note on tetracyclic graphs with extremal values of Randić index (2020) (1)
Counting subwords in flattened involutions and Kummer functions (2016) (1)
COUNTING PAIRS OF WORDS ACCORDING TO THE NUMBER OF COMMON RISES, LEVELS, AND DESCENTS (2014) (1)
SIMULTANEOUS APPROXIMATION BY A LINEAR COMBINATION OF BERNSTEIN-DURRMEYER TYPE POLYNOMIALS (2011) (1)
Enumeration of permutations avoiding a triple of 4-letter patterns is almost all done (2019) (1)
Avoiding Type or Patterns in a Partition of a Set (2012) (0)
# A 67 INTEGERS 11 ( 2011 ) A RECURRENCE RELATED TO THE BELL NUMBERS (2011) (0)
New degenerate Bernoulli, Euler, and Genocchi polynomials (2020) (0)
$q$-Bernstein functions and applications (2016) (0)
Statistics on Compositions (2009) (0)
A maxdrop statistic for standard Young tableaux (2021) (0)
STATISTICS ON PERMUTATIONS (2010) (0)
Linear Algebra and Algebra Review (2009) (0)
Some Properties of Kantorovich Variant of Szász Operators Induced by Multiple Sheffer Polynomials (2022) (0)
Restricted set of patterns, continued fractions, and Chebyshev polynomials (2001) (0)
The Miki-type identity for the Apostol-Bernoulli numbers (2016) (0)
Some Parity Statistics in Integer Partitions (2015) (0)
F Complex Analysis Review (2012) (0)
2 1 Fe b 20 00 Permutations containing and avoiding certain patterns (2000) (0)
Basic Tools of the Trade (2009) (0)
Average length of the longest increasing subsequences in random involutions avoiding 231 and a layered pattern (2020) (0)
Basic Concepts in Graph Theory (2015) (0)
PERMUTATIONS AVOIDING A PAIR OF GENERALIZED PATTERNS OF LENGTH THREE WITH EXACTLY ONE ADJACENT PAIR OF LETTERS (2001) (0)
Improving Upon a Geometric Inequality of Third Order (2012) (0)
Record statistics in integer compositions (2009) (0)
ar 2 00 0 RESTRICTED PERMUTATIONS , CONTINUED FRACTIONS , AND CHEBYSHEV POLYNOMIALS (2006) (0)
Combinations as Bargraphs (2022) (0)
On Λ2-strong convergence of numerical sequences and Fourier series (2013) (0)
Interview with Tomaž Pisanski Toufik Mansour (2021) (0)
Avoidance of classical patterns by Catalan sequences (2017) (0)
On a Certain Cubic Geometric Inequality (2011) (0)
Set partitions and m-excedances (2016) (0)
Maximizing a Sum Related to Image Segmentation Evaluation (2011) (0)
Local Genus Polynomials and IO-Polynomials 2 2 . IO-Polynomials of Involutions are LC 4 3 . Using Hultman Numbers (2015) (0)
The q-Deformed Generalized Weyl Algebra (2015) (0)
On a question of Li concerning an uncounted class of circular permutations (2022) (0)
A combinatorial proof of a result for permutation pairs (2012) (0)
Diffusion on an Ising chain with kinks (2008) (0)
Workshop permutation patterns 2005 (2005) (0)
Impulse Propagation in Compositions and Words (2021) (0)
SOME INEQUALITIES FOR THEq-DIGAMMA FUNCTION (2008) (0)
A Generalization of the Weyl Algebra (2015) (0)
Counting Water Cells in Pattern Restricted Compositions (2019) (0)
Counting corners in partitions (2015) (0)
Pushes in words-a primitive sorting algorithm (2022) (0)
Umbral calculus associated with Frobenius-type Eulerian polynomials (2014) (0)
Restricted single or double signed patterns (2000) (0)
Diffusion on a Chain with Kinks (2008) (0)
Set partitions with isolated successions (0)
Normal Ordering in the Weyl Algebra – Further Aspects (2015) (0)
Rise, Fall and Level Statistics on r-Jacobi-Stirling Set Partitions (2019) (0)
COUNTING HUMPS AND PEAKS IN GENERALIZED DYCK PATHS (2012) (0)
Interview with Peter Paule (2022) (0)
Involutions avoiding the class of permutations in Sk with prefix 12 (2007) (0)
Staircase patterns in words: Subsequences, subwords, and separation number (2019) (0)
Enumeration of smooth inversion sequences and proof of a recent related conjecture (2023) (0)
The q-Deformed Weyl Algebra and the Meromorphic Weyl Algebra (2015) (0)
Multi Restrictions on Set Partitions (2012) (0)
A polynomial generalization of some associated sequences related to set partitions (2017) (0)
A statistic related to trees and words on a finite alphabet (2016) (0)
Solutions and hints (2019) (0)
The length of the initial longest increasing sequence in a permutation (2023) (0)
Equivalence classes of permutations modulo excedances 455 (2015) (0)
Ju n 20 02 SOME STATISTICS ON RESTRICTED 132 INVOLUTIONS (2002) (0)
Smooth Column Convex Polyominoes (2022) (0)
On a Close Relative of the Quantum Plane (2018) (0)
Permutation Patterns and Cell Decompositions (2018) (0)
Counting pattern avoiding permutations by number of movable letters (2020) (0)
Plane Trees and Reduction Rules (2008) (0)
Interview with Andrei Raigorodskii (2022) (0)
Interview with Anne Schilling (2023) (0)
Sharp Boundedness Conditions for a Difference Equation via the Chebyshev Polynomials (2004) (0)
Squaring the terms of an $\ell^{th}$ order linear recurrence (2003) (0)
Compositions and samples of geometric random variables with constrained multiplicities (2010) (0)
Gray Codes, Loopless Algorithms and Set Partitions (2012) (0)
Rational combinations for the sums involving inverse binomial coefficients (2011) (0)
Restricted Lego Towers (2020) (0)
The centralizer of two numbers under the natural action of $S_k$ on [k], the maximal parabolic subgroup of $S_k$, and generalized patterns (2002) (0)
ec 2 00 1 COLOURED PERMUTATIONS CONTAINING AND AVOIDING CERTAIN PATTERNS (2008) (0)
On avoiding 1233 (2021) (0)
Avoidance of Type (1,2) Patterns by Catalan Words (2017) (0)
Basic Definitions of q-Calculus (2015) (0)
Asymptotics and Random Set Partition (2012) (0)
Restricted partitions and Motzkin left factors (2011) (0)
Compositions with Constrained Multiplicities (2010) (0)
Using Mathematica® and MapleTM (2009) (0)
Some properties of Kantorovich variant of Chlodowsky-Szász operators induced by Boas-Buck type polynomials (2022) (0)
ec 2 00 6 A generalization of boson normal ordering (2006) (0)
Erratum to: On moments of the integrated exponential Brownian motion (2017) (0)
Normal ordering problem and the extensions of the Stirling grammar (2014) (0)
The CLLC conjecture holds for cyclic outer permutations (2015) (0)
Curriculum Vitae and List of Publications (2004) (0)
A general approach for analysis of random triangulations of convex polygons (2019) (0)
t-bargraphs and t-compositions (2019) (0)
Counting Occurrences of a Pattern of Length Three with at most two Distinct Letters in a k-ary Word (2016) (0)
New permutation statistics: Variation and a variant (2009) (0)
Automata and Generating Trees (2009) (0)
Interview with Gil Kalai Toufik Mansour (2021) (0)
Generalizations of Stirling Numbers (2015) (0)
Avoiding Type (1, 2) or (2, 1) Patterns in a Partition of a Set (2012) (0)
Semi-perimeter and inner site-perimeter of k-ary words and bargraphs (2021) (0)
Restricted 123-involutions. (2002) (0)
The Weyl Algebra, Quantum Theory, and Normal Ordering (2015) (0)
Involutions containing exactly r pairs of intersecting arcs (2022) (0)
M ay 2 00 8 IDENTITIES INVOLVING NARAYANA POLYNOMIALS AND CATALAN NUMBERS (2018) (0)
Equivalence of the descents statistic on some (4,4)-avoidance classes of permutations (2021) (0)
Asymptotics for Compositions (2009) (0)
M ay 2 00 3 the problem of the pawns (2008) (0)
Some Properties of Kantorovich Variant of Szász Operators Induced by Multiple Sheffer Polynomials (2022) (0)
Preliminary Results on Set Partitions (2012) (0)
Counting occurrences of 3412 in an involution (2004) (0)
Definition and Basic Facts of Lie Algebras (2015) (0)
Enumeration of Fuss-skew paths (2022) (0)
Interview with Ira Gessel (2021) (0)
Counting Border Edges in Bargraphs (2022) (0)
C++ and MapleTM Programs (2009) (0)
Monotonicity Results Concerning Certain Lengths within a Triangle (2013) (0)
Equivalences for pattern avoiding involutions and classification (2008) (0)
Alphabetic Points and Records in Inversion Sequences (2022) (0)
Subregularity in infinitely labeled generating trees of restricted permutations (2021) (0)
On typical triangulations of a convex $n$-gon (2019) (0)
Partial transpose of permutation matrices (2007) (0)
Stirling and Bell Numbers (2015) (0)
Basic Tools of the Book (2012) (0)
Useful Identities and Generating Functions (2009) (0)
Permutations avoiding a pair of patterns of type (1,2) or (2,1) (2002) (0)
Nonsubword Statistics on Set Partitions (2012) (0)
A Generalization of Touchard Polynomials (2015) (0)
Tsallis p,q-deformed Touchard polynomials and Stirling numbers (2017) (0)
New degenerated polynomials arising from non-classical Umbral Calculus. (2018) (0)
k-CATALAN STRUCTURES (2005) (0)
GENERALIZATION OF A STATISTIC ON LINEAR DOMINO ARRANGEMENTS (2013) (0)
A simple sorting algorithm for compositions (2020) (0)
Graph Labelings Obtainable by Random Walks (2023) (0)
Avoiding a pair of patterns in multisets and compositions (2021) (0)
Cell Patterns in Integer Partitions (2019) (0)
Enumeration small classes of 1324 and other two $4$-letter patterns (2017) (0)
ov 2 00 0 RESTRICTED SINGLE OR DOUBLE SIGNED PATTERNS (2000) (0)
Erratum to: On moments of the integrated exponential Brownian motion (2017) (0)
Interview with Lauren K (2021) (0)
Counting subword patterns in permutations arising as flattened partitions of sets (2022) (0)
Modelling x-ray tomography using integer compositions (2015) (0)
Fourier series of sums of products of Bernoulli and Euler/Genocchi functions (2018) (0)
2 2 A ug 2 00 0 LAYERED RESTRICTIONS AND CHEBYSHEV POLYNOMIALS (2008) (0)
Avoidance of Nonsubword Patterns in Compositions (2009) (0)
Restricted inversion sequences and Schröder paths (2023) (0)
C O ] 2 A pr 2 00 1 Gamma function , Beta function and combinatorial identities (2001) (0)
Power Series and Binomial Theorem (2012) (0)
The Baker–Campbell–Hausdorff Formula (2015) (0)
Interview with Volker Strehl (2021) (0)
The Depth of Compositions (2019) (0)
Counting Permutations by the Number of Vertical Edges in Their Bargraphs (2020) (0)
Combinatorics of Dumont differential system on the Jacobi elliptic functions (2014) (0)
Corrigendum to “A general two-term recurrence and its solution” [European J. Combin. 33 (2012) 20–26] (2018) (0)
Interview with Einar Steingr´ımsson (2022) (0)
Embedding Distributions and Chebyshev Polynomials (2011) (0)
Avoidance of Patterns in Set Partitions (2012) (0)
Several variants of the Dumont differential system and permutation statistics (2018) (0)
Enumerations on polyominoes determined by Fuss-Catalan words (2021) (0)
Defect polynomials and Tutte polynomials of some asymmetric graphs (2015) (0)
Set Partitions and Normal Ordering (2012) (0)
On Column-Convex and Convex Carlitz Polyominoes (2021) (0)
2 A ug 2 00 1 COUNTING OCCURRENCES OF 132 IN A PERMUTATION (2008) (0)
Impulse parameter and a new equivalence between 123- and 132-avoiding permutations (2018) (0)
The twelvefold way, the nonintersecting circles problem, and partitions of multisets (2015) (0)

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