On the number of fully packed loop configurations with a fixed associated matching
Fabrizio Caselli, Christian Krattenthaler, Bodo Lass, Philippe Nadeau
Abstract
We show that the number of fully packed loop configurations corresponding to a matching with m nested arches is polynomial in m if m is large enough, thus essentially proving two conjectures by Zuber [Electronic J. Combin. 11 (2004), Article #R13].
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