A bijection between classes of fully packed loops and plane partitions

P. Di Francesco; P. Zinn-Justin; J. B. Zuber

doi:10.37236/1817

A bijection between classes of fully packed loops and plane partitions

P. Di Francesco, P. Zinn-Justin, J. B. Zuber

Research output: Contribution to journal › Article › peer-review

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 × b × c. In this note, this result is proved by constructing explicitly the bijection between these FPL and plane partitions.

Original language	English (US)
Pages (from-to)	1-11
Number of pages	11
Journal	Electronic Journal of Combinatorics
Volume	11
Issue number	1 R
DOIs	https://doi.org/10.37236/1817
State	Published - Sep 16 2004
Externally published	Yes

ASJC Scopus subject areas

Theoretical Computer Science
Geometry and Topology
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics
Applied Mathematics

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10.37236/1817

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A bijection between classes of fully packed loops and plane partitions

Abstract

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