Cluster Variables and Perfect Matchings of Subgraphs of the dP₃ Lattice
classification
🧮 math.CO
keywords
clusteralgebramatchingsperfectsubgraphsvariablesassociatedbrane
read the original abstract
We give a combinatorial intepretation of cluster variables of a specific cluster algebra under a mutation sequence of period 6, in terms of perfect matchings of subgraphs of the brane tiling dual to the quiver associated with the cluster algebra.
This paper has not been read by Pith yet.
Forward citations
Cited by 1 Pith paper
-
Dimer models on astroidal zig-zag graphs
Astroidal zig-zag graphs on periodic planar bipartite lattices admit explicit inverse Kasteleyn matrices by double contour integrals, yielding arctic curves, limit shapes, and convergence to Gibbs measures for periodi...
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.