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

Abstract : 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.
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Conference papers
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https://hal.archives-ouvertes.fr/hal-01337778
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Submitted on : Monday, June 27, 2016 - 3:21:16 PM
Last modification on : Wednesday, September 16, 2020 - 5:00:00 PM

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Distributed under a Creative Commons Attribution 4.0 International License

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  • HAL Id : hal-01337778, version 1
  • ARXIV : 1411.4161

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Jean-Baptiste Priez, Aladin Virmaux. Non-commutative Frobenius characteristic of generalized parking functions: Application to enumeration. 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015), Jul 2015, Daejeon, South Korea. pp.733-744. ⟨hal-01337778⟩

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