9 citations · 82 across the 42 of their papers we have counts for
5 papers · 2 filters
Tilings of hexagons with a removed triad of bowties
Mihai Ciucu, Tri Lai, Ranjan Rohatgi
In this paper we consider arbitrary hexagons on the triangular lattice with three arbitrary bowtie-shaped holes, whose centers form an equilateral triangle. The number of lozenge t…
A Shuffling Theorem for Centrally Symmetric Tilings
Tri Lai
Rohatgi and the author recently proved a shuffling theorem for lozenge tilings of `doubly-dented hexagons' (arXiv:1905.08311). The theorem can be considered as a hybrid between two…
A shuffling theorem for lozenge tilings of doubly-dented hexagons
Tri Lai, Ranjan Rohatgi
MacMahon's theorem on plane partitions yields a simple product formula for tiling number of a hexagon, and Cohn, Larsen and Propp's theorem provides an explicit enumeration for til…
Tiling Enumeration of Hexagons with Off-central Holes
Tri Lai
In the prequel of the paper (arXiv:1803.02792), we considered exact enumerations of the cored versions of a doubly-intruded hexagon. The result generalized Ciucu's work about -c…
A Shuffling Theorem for Reflectively Symmetric Tilings
Tri Lai
In arXiv:1905.08311, the author and Rohatgi proved a shuffling theorem for doubly-dented hexagons. In particular, we showed that shuffling removed unit triangles along a horizontal…