A Bijection between classes of Fully Packed Loops and Plane Partitions

Details A Bijection between classes of Fully Packed Loops and Plane Partitions A Bijection between classes of Fully Packed Loops and Plane Partitions

2003-11-13

arxiv.org/abs/math/0311220v1

Mathematics

Combinatorics

Scientific paper

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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