1 citations · 1 across the 4 of their papers we have counts for
8 papers
Grand Dyck paths with air pockets
Jean-Luc Baril, Sergey Kirgizov, Rémi Maréchal +1
Grand Dyck paths with air pockets (GDAP) are a generalization of Dyck paths with air pockets by allowing them to go below the -axis. We present enumerative results on GDAP (or t…
Lattice paths with a first return decomposition constrained by the maximal height of a pattern
Jean-Luc Baril, Sergey Kirgizov
We consider the system of equations for where , , are some given functions and show how to obt…
Bijections from Dyck and Motzkin meanders with catastrophes to pattern avoiding Dyck paths
Jean-Luc Baril, Sergey Kirgizov
In this note, we present constructive bijections from Dyck and Motzkin meanders with catastrophes to Dyck paths avoiding some patterns. As a byproduct, we deduce correspondences fr…
Transformation à la Foata for special kinds of descents and excedances
Jean-Luc Baril, Sergey Kirgizov
A pure excedance in a permutation is a position such that there is no with . We present a one-to-one correspondence on the symmetr…
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…