Non-commutative Frobenius characteristic of generalized parking functions : Application to enumeration

Autor: Jean-Baptiste Priez, Aladin Virmaux
Jazyk: angličtina
Rok vydání: 2015
Předmět:
Zdroj: Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings, 27th..., Iss Proceedings (2015)
Druh dokumentu: article
ISSN: 1365-8050
DOI: 10.46298/dmtcs.2504
Popis: We give a recursive definition of generalized parking functions that allows them to be viewed as a species. From there we compute a non-commutative characteristic of the generalized parking function module and deduce some enumeration formulas of structures and isomorphism types. We give as well an interpretation in several bases of non commutative symmetric functions. Finally, we investigate an inclusion-exclusion formula given by Kung and Yan.
Databáze: Directory of Open Access Journals