A Bijection between classes of Fully Packed Loops and Plane Partitions
Di Francesco, P. ; Zinn-Justin, Paul ; Zuber, J. -B.
HAL, hal-00004275 / Harvested from HAL
Text on HAL
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 x b x c. In this note, this result is proved by constructing explicitly the bijection between these FPL and plane partitions.
Publié le : 2004-07-05
Classification:  [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO] 
@article{hal-00004275,
     author = {Di Francesco, P. and Zinn-Justin, Paul and Zuber, J. -B.},
     title = {A Bijection between classes of Fully Packed Loops and Plane Partitions},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00004275}
}

Di Francesco, P.; Zinn-Justin, Paul; Zuber, J. -B. A Bijection between classes of Fully Packed Loops and Plane Partitions. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00004275/