A Bijection between classes of Fully Packed Loops and Plane Partitions
classification
🧮 math.CO
cond-mat.stat-mechmath-phmath.MP
keywords
partitionsplanebijectionnumberarchesbeenclassesconfigurations
read the original abstract
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.
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