Fully packed loop configurations : polynomiality and nested arches
Résumé
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)
Domaines
Combinatoire [math.CO]
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