Bijections between directed animals, multisets and Grand-Dyck paths

DOI10.37236/8826zbMath1439.05013arXiv1906.11870OpenAlexW3012046893MaRDI QIDQ2181997

Jean-Luc Baril, Sergey Kirgizov, David I. Bevan

Publication date: 20 May 2020

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.11870

zbMATH Keywords

bivariate generating function

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19)

Related Items (3)

Bijections from Dyck and Motzkin meanders with catastrophes to pattern avoiding Dyck paths ⋮ Unnamed Item ⋮ Knight's paths towards Catalan numbers

Uses Software

• OEIS

Cites Work

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• Directed animals, quadratic systems and rewriting systems
• Animaux et arbres guingois. (Animals and guingois trees)
• Average site perimeter of directed animals on the two-dimensional lattices
• Equivalence of the two-dimensional directed animal problem to a one- dimensional path problem
• A note on the enumeration of directed animals via gas considerations
• Directed animals and gas models revisited
• Directed animals, forests and permutations
• Some statistics on Dyck paths
• New enumerative results on two-dimensional directed animals
• Lattice animals and heaps of dimers
• The statistic ``number of udu's in Dyck paths
• Explicit formulas for enumeration of lattice paths: basketball and the kernel method
• Counting strings in Dyck paths
• Une bijection entre les polyominos convexes dirigés et les mots de Dyck bilatères
• Some exact results for moments of 2D directed animals
• On two-dimensional percolation

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