A New Bijection Between Forests and Parking Functions

Details A New Bijection Between Forests and Parking Functions A New Bijection Between Forests and Parking Functions

2008-10-02

arxiv.org/abs/0810.0427v2

Mathematics

Combinatorics

11 pages

Scientific paper

In 1980, G. Kreweras gave a recursive bijection between forests and parking
functions. In this paper we construct a nonrecursive bijection from forests
onto parking functions, which answers a question raised by R. Stanley. As a
by-product, we obtain a bijective proof of Gessel and Seo's formula for lucky
statistic on parking functions.

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