English

Foata's Bijection for Tree-Like Structures

Combinatorics 2007-05-23 v1

Abstract

We present bijections enumerating (k,m)-trees, k-gon trees, edge labelled (2,1)-trees, and other tree-like structures. Our constructions are based on Foata's (1971) bijection for cycle-free functions, which is simplified here.

Keywords

Cite

@article{arxiv.math/0007148,
  title  = {Foata's Bijection for Tree-Like Structures},
  author = {Oleg Pikhurko},
  journal= {arXiv preprint arXiv:math/0007148},
  year   = {2007}
}

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8 pages