Fully packed loop configurations : polynomiality and nested arches

Autor: Florian Aigner
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings, 28th... (2020)
Druh dokumentu: article
ISSN: 1365-8050
DOI: 10.46298/dmtcs.6341
Popis: 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)
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