Geodesic
A bijection between classes of fully packed loops and plane partitions
The electronic journal of combinatorics, Tome 11 (2004) no. 1
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It has recently been observed empirically that the number of FPL configurations with 3 sets of $a$, $b$ and $c$ nested arches equals the number of plane partitions in a box of size $a\times b \times c$. In this note, this result is proved by constructing explicitly the bijection between these FPL and plane partitions.
DOI : 10.37236/1817
Classification : 05A19, 52C20, 82B20
Mots-clés : full pached loop configurations, plane partitions 
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P. Di Francesco; P. Zinn-Justin; J.-B. Zuber. A bijection between classes of fully packed loops and plane partitions. The electronic journal of combinatorics, Tome 11 (2004) no. 1. doi: 10.37236/1817

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