Geodesic
On the number of fully packed loop configurations with a fixed associated matching
The electronic journal of combinatorics, The Stanley Festschrift volume, Tome 11 (2004) no. 2
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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].
DOI : 10.37236/1873
Classification : 05A15, 05B45, 05E05, 05E10, 82B23 
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     author = {F. Caselli and C. Krattenthaler and B. Lass and P. Nadeau},
     title = {On the number of fully packed loop configurations with a fixed associated matching},
     journal = {The electronic journal of combinatorics},
     year = {2004},
     volume = {11},
     number = {2},
     doi = {10.37236/1873},
     zbl = {1060.05005},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1873/}
}
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F. Caselli; C. Krattenthaler; B. Lass; P. Nadeau. On the number of fully packed loop configurations with a fixed associated matching. The electronic journal of combinatorics, The Stanley Festschrift volume, Tome 11 (2004) no. 2. doi: 10.37236/1873

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