English

Ordered forests and parking functions

Rings and Algebras 2011-03-02 v3

Abstract

We prove that the Hopf algebra of parking functions and the Hopf algebra of ordered forests are isomorphic, using a rigidity theorem for a particular type of bialgebras.

Keywords

Cite

@article{arxiv.1007.1547,
  title  = {Ordered forests and parking functions},
  author = {Loïc Foissy},
  journal= {arXiv preprint arXiv:1007.1547},
  year   = {2011}
}

Comments

22 pages, revised version

R2 v1 2026-06-21T15:46:21.054Z