2 papers
math.CO2024
Combinatorial connections in snake graphs: Tilings, lattice paths, and perfect matchings
Carolina Melo
Snake graphs and their perfect matchings play a key role in the description of cluster variables of cluster algebras associated to surfaces. In this paper, we introduce triangular…
math.RT2023
The cluster complex for cluster Poisson varieties and representations of acyclic quivers
Carolina Melo, Alfredo Nájera Chávez
Let be a skew-symmetrizable cluster Poisson variety. The cluster complex was introduced by Gross, Hacking, Keel and Kontsevich. It codifies the the…