Abstract

Parking functions are central in many aspects of combinatorics. We define in this communication a generalization of parking functions which we call ( p 1,…, p k )- parking functions. We give a characterization of them in terms of parking functions and we show that they can be interpreted as recurrent configurations in the sandpile model for some graphs. We also establish a correspondence with a Lukasiewicz language, which enables to enumerate ( p 1,…, p k )-parking functions as well as increasing ones.

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