9 citations · 82 across the 42 of their papers we have counts for
43 papers
Lozenge Tilings of Hexagons with Intrusions II: Shuffling Phenomenon
Seok Hyun Byun, Tri Lai
The enumeration of lozenge tilings of hexagons with holes has been studied intensively in recent years. Researchers tried to find shapes and positions of holes in hexagonal regions…
Domino Tilings of Cruciform Regions
Tri Lai, Anh Thi Nguyen
P. Di Francesco first introduced the "Aztec triangle" in his study of the relationship between the twenty-vertex model and domino tilings. He conjectured an exact formula for the n…
Lozenge Tilings of Hexagons with Intrusions I: Generalized Intrusion
Seok Hyun Byun, Tri Lai
MacMahon's classical theorem on the number of boxed plane partitions has been generalized in several directions. One way to generalize the theorem is to view boxed plane partitions…
Problems in the Enumeration of Tilings
Tri Lai
Enumeration of tilings is the mathematical study concerning the total number of coverings of regions by similar pieces without gaps or overlaps. Enumeration of tilings has become a…
Plane partitions of shifted double staircase shape
Sam Hopkins, Tri Lai
We give a product formula for the number of shifted plane partitions of shifted double staircase shape with bounded entries. This is the first new example of a family of shapes wit…
Tilted Halved Hexagons: Hexagons, Semi-hexagons, and Halved Hexagons Under One Roof
Tri Lai
We investigate a new family of regions that is the universal generalization of three well-known region families in the field of enumeration of tilings: the quasi-regular hexagons,…