A New Bijection Between Forests and Parking Functions


الملخص بالإنكليزية

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 Seos formula for lucky statistic on parking functions.

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