A Combinatorial Proof of Postnikov's Identity and a Generalized Enumeration of Labeled Trees

Seunghyun Seo

Abstract


In this paper, we give a simple combinatorial explanation of a formula of A. Postnikov relating bicolored rooted trees to bicolored binary trees. We also present generalized formulas for the number of labeled $k$-ary trees, rooted labeled trees, and labeled plane trees.


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