This material has been published in
J. Combin. Theory Ser. A 108 (2004), 123-146,
the only definitive repository of the content that has been
certified and accepted after peer review. Copyright and all rights therein
are retained by Elsevier B.V.
This material may not be copied or reposted
without explicit permission.
Proof of two conjectures of Zuber on fully packed loop configurations
(20 pages)
Abstract.
Two conjectures of Zuber
[``On the counting
of fully packed loops
configurations.
Some new conjectures,'' preprint]
on the enumeration of configurations in the
fully packed loop model on the square grid with periodic boundary
conditions, which have a prescribed linkage pattern, are proved.
Following an idea of
de Gier
[``Loops,
matchings and alternating-sign
matrices,'' Discrete Math., to appear],
the proofs are based on bijections between such fully packed loop
configurations and rhombus tilings, and the hook-content formula
for semistandard tableaux.
The following versions are available:
Back to Christian Krattenthaler's
home page.