4 citations · 9 across the 34 of their papers we have counts for
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Catalan words avoiding pairs of length three patterns
Jean-Luc Baril, Carine Khalil, Vincent Vajnovszki
Catalan words are particular growth-restricted words counted by the eponymous integer sequence. In this article we consider Catalan words avoiding a pair of patterns of length 3, p…
Popularity of patterns over -equivalence classes of words and permutations
Jean-Luc Baril, Vincent Vajnovszki
Two same length words are -equivalent if they have same descent set and same underlying alphabet. In particular, two same length permutations are -equivalent if they have sam…
Pattern distributions in Dyck paths with a first return decomposition constrained by height
Jean-Luc Baril, Richard Genestier, Sergey Kirgizov
We provide generating functions for the popularity and the distribution of patterns of length at most three over the set of Dyck paths having a first return decomposition constrain…
Bijections between directed animals, multisets and Grand-Dyck paths
Jean-Luc Baril, David Bevan, Sergey Kirgizov
An -multiset of consists of a set of elements from where each element can be repeated. We present the bivariate generating function for -mul…