Results 1 to 10 of about 2,657 (21)
Crossings, Motzkin paths and Moments [PDF]
, 1999 Kasraoui, Stanton and Zeng, and Kim, Stanton and Zeng introduced certain $q$-analogues of Laguerre and Charlier polynomials. The moments of these orthogonal polynomials have combinatorial models in terms of crossings in permutations and set partitions ...
A Schellekens +48 more
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A note on super Catalan numbers [PDF]
, 2012 We show that the super Catalan numbers are special values of the Krawtchouk polynomials by deriving an expression for the super Catalan numbers in terms of a signed set.Comment: 4 pages. Revised and Accepted.
Georgiadis, Evangelos +2 more
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Factorization theorems for classical group characters, with applications to alternating sign matrices and plane partitions [PDF]
, 2019 We show that, for a certain class of partitions and an even number of variables of which half are reciprocals of the other half, Schur polynomials can be factorized into products of odd and even orthogonal characters.
Ayyer, Arvind, Behrend, Roger E.
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Hook formulas for skew shapes III. Multivariate and product formulas [PDF]
, 2019 We give new product formulas for the number of standard Young tableaux of certain skew shapes and for the principal evaluation of the certain Schubert polynomials.
Morales, Alejandro H. +2 more
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Touchard-Riordan formulas, T-fractions, and Jacobi's triple product identity [PDF]
, 2011 Touchard-Riordan-like formulas are some expressions appearing in enumeration problems and as moments of orthogonal polynomials. We begin this article with a new combinatorial approach to prove these kind of formulas, related with integer partitions. This
Josuat-Vergès, Matthieu, Kim, Jang Soo
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A Markov growth process for Macdonald's distribution on reduced words [PDF]
, 2014 We give an algorithmic-bijective proof of Macdonald's reduced word identity in the theory of Schubert polynomials, in the special case where the permutation is dominant.
Young, Benjamin
core
Enumeration of Standard Young Tableaux [PDF]
, 2014 A survey paper, to appear as a chapter in a forthcoming Handbook on Enumeration.Comment: 65 pages, small ...
Adin, Ron M., Roichman, Yuval
core
Integrability of graph combinatorics via random walks and heaps of dimers
, 2005 We investigate the integrability of the discrete non-linear equation governing the dependence on geodesic distance of planar graphs with inner vertices of even valences.
+15 more
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Eulerian idempotent, pre-Lie logarithm and combinatorics of trees [PDF]
, 2017 The aim of this paper is to bring together the three objects in the title. Recall that, given a Lie algebra $\mathfrak{g}$, the Eulerian idempotent is a canonical projection from the enveloping algebra $U(\mathfrak{g})$ to $\mathfrak{g}$.
Bandiera, Ruggero, Schaetz, Florian
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A unifying combinatorial approach to refined little G\"ollnitz and Capparelli's companion identities
, 2017 Berkovich-Uncu have recently proved a companion of the well-known Capparelli's identities as well as refinements of Savage-Sills' new little G\"ollnitz identities.
Fu, Shishuo, Zeng, Jiang
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