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cs.DM2022★ 1 cited
Enumeration of Dyck paths with air pockets
Jean-Luc Baril, Sergey Kirgizov, Rémi Maréchal +1
We introduce and study the new combinatorial class of Dyck paths with air pockets. We exhibit a bijection with the peakless Motzkin paths which transports several pattern statistic…
cs.DM2020
Gray codes for Fibonacci q-decreasing words
Jean-Luc Baril, Sergey Kirgizov, Vincent Vajnovszki
An -length binary word is -decreasing, , if every of its length maximal factor of the form satisfies or .We show constructively that the…
cs.DM2016
Patterns in treeshelves
Jean-Luc Baril, Sergey Kirgizov, Vincent Vajnovszki
We study the distribution and the popularity of left children on sets of treeshelves avoiding a pattern of size three. (Treeshelves are ordered binary increasing trees where every…