1 citations · 1 across the 5 of their papers we have counts for
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Cluster Expansions from Punctured Orbifolds
Esther Banaian, Wonwoo Kang, Elizabeth Kelley +2
We provide multiple combinatorial expansion formulas - in terms of snake graphs, labelled posets, matrices, and -walks - for elements in generalized cluster algebras associated…
Local Statistics of the -Dimer Model
Nickolas Anderson, Moriah Elkin, Elizabeth Kelley +2
The classical dimer model is concerned with the (weighted) enumeration of perfect matchings of a graph. An -dimer cover is a multiset of edges that can be realized as the disjoi…
Skein relations for punctured surfaces
Esther Banaian, Wonwoo Kang, Elizabeth Kelley
We investigate skein relations in cluster algebras from punctured surfaces, extending the work of Çanakçi-Schiffler and Musiker-Williams on unpunctured surfaces. Using a combinator…
An elaborate new proof of Cayley's formula
Esther Banaian, Anh Trong Nam Hoang, Elizabeth Kelley +4
We construct a bijection between certain Deodhar components of a braid variety constructed from an affine Kac-Moody group of type and vertex-labeled trees on vertices…
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…