2 citations · 3 across the 3 of their papers we have counts for
4 papers
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…
On the numbers of perfect matchings of trimmed Aztec rectangles
Tri Lai
We consider several new families of graphs obtained from Aztec rectangle and augmented Aztec rectangle graphs by trimming two opposite corners. We prove that the perfect matchings…