Geodesic
Cyclically Symmetric Lozenge Tilings of a Hexagon with Four Holes
Séminaire lotharingien de combinatoire, 80B (2018)

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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. 

@article{SLC_2018_80B_a16,
     author = {Tri Lai and Ranjan Rohatgi},
     title = {Cyclically {Symmetric} {Lozenge} {Tilings} of a {Hexagon} with {Four} {Holes}},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {80B},
     year = {2018},
     url = {http://geodesic.mathdoc.fr/item/SLC_2018_80B_a16/}
}
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AU  - Ranjan Rohatgi
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Tri Lai; Ranjan Rohatgi. Cyclically Symmetric Lozenge Tilings of a Hexagon with Four Holes. Séminaire lotharingien de combinatoire, 80B (2018). http://geodesic.mathdoc.fr/item/SLC_2018_80B_a16/