79 citations · 329 across the 37 of their papers we have counts for
43 papers
Extremal Matchings and Height Functions
Nickolas Anderson, Gregg Musiker
This paper studies a lattice structure for almost perfect matchings on certain planar, bipartite (plabic) graphs embedded in a disk. Postnikov's boundary measurement map, and subse…
Gale-Robinson Quivers and Principal Coefficients
Qiyue Chen, Gregg Musiker
In this paper, we provide a combinatorial interpretation for Laurent polynomials obtained by iteratively mutating a certain periodic quiver that has been framed with frozen vertice…
Cluster scattering diagrams via quiver moduli and tight gradings
Amanda Burcroff, Kyungyong Lee, Lang Mou +2
We study rank-2 cluster scattering diagrams through moduli spaces of quiver representations and a recently developed combinatorial framework of tight gradings. Combining quiver-the…
Twists, Higher Dimer Covers, and Web Duality for Grassmannian Cluster Algebras
Esther Banaian, Elise Catania, Christian Gaetz +3
We study a twisted version of Fraser, Lam, and Le's higher boundary measurement map, using face weights instead of edge weights, thereby providing Laurent polynomial expansions, in…
Super Markov Numbers and Signed Double Dimer Covers
Gregg Musiker
We provide a superalgebraic analogue of Markov numbers, which are defined as the Grassmann integer solutions to the equation , as we…
Minimal Matchings for dP3 Cluster Variables
Judy Hsin-Hui Chiang, Gregg Musiker, Son Nguyen
In previous work [LM17], Tri Lai and the second author studied a family of subgraphs of the dP3 brane tiling, called Aztec castles, whose dimer partition functions provide combinat…