On the counting of fully packed loop configurations: some new conjectures
The electronic journal of combinatorics, Tome 11 (2004) no. 1
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New conjectures are proposed on the numbers of FPL configurations pertaining to certain types of link patterns. Making use of the Razumov and Stroganov Ansatz, these conjectures are based on the analysis of the ground state of the Temperley-Lieb chain, for periodic boundary conditions and so-called "identified connectivities", up to size $2n=22$.
DOI : 10.37236/1766
Classification : 05A19, 52C20, 82B20
Mots-clés : alternating-sign matrices, Temperley-Lieb chain
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     author = {J.-B. Zuber},
     title = {On the counting of fully packed loop configurations: some new conjectures},
     journal = {The electronic journal of combinatorics},
     year = {2004},
     volume = {11},
     number = {1},
     doi = {10.37236/1766},
     zbl = {1054.05011},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1766/}
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J.-B. Zuber. On the counting of fully packed loop configurations: some new conjectures. The electronic journal of combinatorics, Tome 11 (2004) no. 1. doi: 10.37236/1766

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