9 citations · 82 across the 42 of their papers we have counts for
5 papers · 2 filters
Lozenge tilings of doubly-intruded hexagons
Mihai Ciucu, Tri Lai
Motivated in part by Propp's intruded Aztec diamond regions, we consider hexagonal regions out of which two horizontal chains of triangular holes (called ferns) are removed, so tha…
Enumeration of lozenge tilings of a hexagon with a shamrock missing on the symmetry axis
Tri Lai, Ranjan Rohatgi
In their paper about a dual of MacMahon's classical theorem on plane partitions, Ciucu and Krattenthaler proved a closed form product formula for the tiling number of a hexagon wit…
A New Proof for a Triple Product Formula for Plane Partitions
Tri Lai
Stanley generalized MacMahon's classical theorem by proving a product formula for the norm-trace generating function for plane partition with unbounded parts. In his recent work on…
Lozenge tilings of a halved hexagon with an array of triangles removed from the boundary, part II
Tri Lai
Proctor's work on staircase plane partitions yields an enumeration of lozenge tilings of a halved hexagon on the triangular lattice. Rohatgi later extended this tiling enumeration…
Cyclically Symmetric Lozenge Tilings of a Hexagon with Four Holes
Tri Lai, Ranjan Rohatgi
The work of Mills, Robbins, and Rumsey on cyclically symmetric plane partitions yields a simple product formula for the number of lozenge tilings of a regular hexagon, which are in…