20 citations · 88 across the 33 of their papers we have counts for
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Enumeration of snakes and cycle-alternating permutations
Matthieu Josuat-Vergès
Springer numbers are an analog of Euler numbers for the group of signed permutations. Arnol'd showed that they count some objects called snakes, that generalize alternating permuta…
Crossings, Motzkin paths and Moments
Matthieu Josuat-Vergès, Martin Rubey
Kasraoui, Stanton and Zeng, and Kim, Stanton and Zeng introduced certain -analogues of Laguerre and Charlier polynomials. The moments of these orthogonal polynomials have combin…
The Matrix Ansatz, Orthogonal Polynomials, and Permutations
Sylvie Corteel, Matthieu Josuat-Vergès, Lauren K. Williams
In this paper we outline a Matrix Ansatz approach to some problems of combinatorial enumeration. The idea is that many interesting quantities can be expressed in terms of products…
Generalized Dumont-Foata polynomials and alternative tableaux
Matthieu Josuat-Vergès
Dumont and Foata introduced in 1976 a three-variable symmetric refinement of Genocchi numbers, which satisfies a simple recurrence relation. A six-variable generalization with many…