On the Number of Fully Packed Loop Configurations with a Fixed Associated Matching

نویسندگان

  • Fabrizio Caselli
  • Christian Krattenthaler
  • B. Lass
  • Philippe Nadeau
چکیده

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(1) (2004), Article #R13].

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عنوان ژورنال:
  • Electr. J. Comb.

دوره 11  شماره 

صفحات  -

تاریخ انتشار 2005