Florian Aigner - Fully packed loop configurations : polynomiality and nested arches

dmtcs:6341 - Discrete Mathematics & Theoretical Computer Science, April 22, 2020, DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016) - https://doi.org/10.46298/dmtcs.6341
Fully packed loop configurations : polynomiality and nested archesArticle

Authors: Florian Aigner ORCID1

  • 1 Fakultät für Mathematik [Wien]

This extended abstract proves that the number of fully packed loop configurations whose link pattern consists of two noncrossing matchings separated by m nested arches is a polynomial in m. This was conjectured by Zuber (2004) and for large values of m proved by Caselli et al. (2004)


Volume: DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016)
Published on: April 22, 2020
Imported on: July 4, 2016
Keywords: [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]
Funding:
    Source : OpenAIRE Graph
  • Compact enumeration formulas for generalized partitions; Funder: Austrian Science Fund (FWF); Code: Y 463

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