9 citations · 82 across the 42 of their papers we have counts for
7 papers · 2 filters
Beyond Aztec Castles: Toric Cascades in the Quiver
Tri Lai, Gregg Musiker
Given one of an infinite class of supersymmetric quiver gauge theories, string theorists can associate a corresponding toric variety (which is a Calabi-Yau 3-fold) as well as an as…
Majority Digraphs
Tri Lai, Jörg Endrullis, Lawrence S. Moss
A majority digraph is a finite simple digraph such that there exist finite sets for the vertices with the following property: if and only if "mo…
Proof of a conjecture of Kenyon and Wilson on semicontiguous minors
Tri Lai
Kenyon and Wilson showed how to test if a circular planar electrical network with nodes is well-connected by checking the positivity of central minors of the res…
A Generalization of Aztec Dragons
Tri Lai
Aztec dragons are lattice regions first introduced by James Propp, which have the number of tilings given by a power of . This family of regions has been investigated further by…
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…
A -enumeration of lozenge tilings of a hexagon with three dents
Tri Lai
We -enumerate lozenge tilings of a hexagon with three bowtie-shaped regions have been removed from three non-consecutive sides. The unweighted version of the result generalizes…