This material has been published in
Electronic
J. Combin. 11(2) (2005), Article #R16, 43 pp.
On the number of fully packed loop configurations
with a fixed associated matching
(43 pages)
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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