9 citations · 82 across the 42 of their papers we have counts for
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math.CO2018★ 5 cited
Dungeons and Dragons: Combinatorics for the Quiver
Tri Lai, Gregg Musiker
In this paper, we utilize the machinery of cluster algebras, quiver mutations, and brane tilings to study a variety of historical enumerative combinatorics questions all under one…
math.CO2018★ 4 cited
Lozenge tilings of hexagons with central holes and dents
Tri Lai
Ciucu showed that the number of lozenge tilings of a hexagon in which a chain of equilateral triangles of alternating orientations, called a `\emph{fern}', has been removed in the…
math.CO2018★ 8 cited
Tiling enumeration of doubly-intruded halved hexagons
Tri Lai
Inspired by Propp's intruded Aztec diamond regions, we consider halved hexagons in which two aligned arrays of triangular holes have been removed from their boundaries. Unlike the…