14 citations · 21 across the 11 of their papers we have counts for
4 papers · 1 filter
Weak ascent sequences and related combinatorial structures
Beáta Bényi, Anders Claesson, Mark Dukes
In this paper we introduce {\em weak ascent sequences}, a class of number sequences that properly contains ascent sequences. We show how these sequences uniquely encode each of the…
Combinatorial aspects of poly-Bernoulli polynomials and poly-Euler numbers
Beáta Bényi, Toshiki Matsusaka
In this article, we introduce combinatorial models for poly-Bernoulli polynomials and poly-Euler numbers of both kinds. As their applications, we provide combinatorial proofs of so…
Poly-Cauchy numbers -- the combinatorics behind
Beáta Bényi, José Luis Ramírez
We introduce poly-Cauchy permutations that are enumerated by the poly-Cauchy numbers. We provide combinatorial proofs for several identities involving poly-Cauchy numbers and some…
Toppling on permutations with an extra chip
Arvind Ayyer, Beáta Bényi
The study of toppling on permutations with an extra labeled chip was initiated by the first author with D. Hathcock and P. Tetali (arXiv:2010.11236), where the extra chip was added…