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math.CO2023
Snake Graphs for Graph LP Algebras
Esther Banaian, Sunita Chepuri, Elizabeth Kelley +1
Graph LP algebras are a generalization of cluster algebras introduced by Lam and Pylyavskyy. We provide a combinatorial proof of positivity for certain cluster variables in these a…
math.RT2023★ 1 cited
Snake Graphs and Caldero-Chapoton Functions from Triangulated Orbifolds
Esther Banaian, Yadira Valdivieso
Generalized cluster algebras from orbifolds were defined by Chekhov and Shapiro to give a combinatorial description of their Teichmüller spaces. One can also assign a gentle algebr…