Séminaire Lotharingien de Combinatoire, 80B.17 (2018), 12 pp.
Tri Lai and Ranjan Rohatgi
Cyclically Symmetric Lozenge Tilings of a Hexagon with Four Holes
Abstract.
Mills, Robbins, and Rumsey's work on cyclically symmetric plane
partitions yields a simple product formula for the number of lozenge
tilings of a regular hexagon, which are invariant under rotation by
120o. In this extended abstract, we generalize this result
by enumerating the cyclically symmetric lozenge tilings of a hexagon
in which four triangles have been removed in a symmetric way.
Received: November 14, 2017.
Accepted: February 17, 2018.
Final version: April 1, 2018.
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