A bijection between classes of fully packed loops and plane partitions

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

Research output: Contribution to journalArticle


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 languageEnglish (US)
Pages (from-to)1-11
Number of pages11
JournalElectronic Journal of Combinatorics
Issue number1 R
StatePublished - Sep 16 2004


ASJC Scopus subject areas

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

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