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Foata's Bijection for Tree-Like Structures

Oleg Pikhurko

math.COarXiv:math/0007148

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.

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