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A New Bijection Between Forests and Parking Functions
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math.CO
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functionsparkingbijectionforestsanswersbijectiveby-productconstruct
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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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