English

Regions of the type C Catalan arrangement

Combinatorics 2020-04-22 v2

Abstract

In this paper, we give a bijection between rooted labeled ordered forests with a selected subset of their leaves and the regions of the type CC Catalan arrangement in Rn\R^n. We thus obtain a bijective proof of the well-known enumeration formula of these regions 2nn!(2nn){2^n}n! \binom{2n}{n}.

Keywords

Cite

@article{arxiv.1912.09753,
  title  = {Regions of the type C Catalan arrangement},
  author = {Anne Micheli and Vu Nguyen Dinh},
  journal= {arXiv preprint arXiv:1912.09753},
  year   = {2020}
}

Comments

10 pages, 3 figures