English

Six bijections between deco polyominoes and permutations

Combinatorics 2008-10-20 v2

Abstract

In this paper we establish six bijections between a particular class of polyominoes, called deco polyominoes, enumerated according to their directed height by n!, and permutations. Each of these bijections allows us to establish different correspondences between classical statistics on deco polyominoes and on permutations.

Keywords

Cite

@article{arxiv.0810.2876,
  title  = {Six bijections between deco polyominoes and permutations},
  author = {Emeric Deutsch and Elisa Pergola and Renzo Pinzani},
  journal= {arXiv preprint arXiv:0810.2876},
  year   = {2008}
}

Comments

20 pages, 15 figures

R2 v1 2026-06-21T11:31:23.314Z