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math.CO2025
Mixed Dimer Models for Euler and Catalan Numbers
Andrew Claussen, Nicholas Ovenhouse
We study the enumeration of mixed dimer covers on skew Young diagrams of ribbon shape (also called border strips or snake graphs). For the two extreme cases of straight and zigzag…
math.CO2020★ 7 cited
Expansion Posets for Polygon Cluster Algebras
Andrew Claussen
Define an expansion poset to be the poset of monomials of a cluster variable attached to an arc in a polygon, where each monomial is represented by the corresponding combinatorial…