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math.CO2026
Flows on graphs with cycles, locally gentle algebras, and the Mutoperhedron
Antoine Abram, Jose Bastidas, Benjamin Dequêne +3
Flow cones of a directed acyclic graph admit a family of unimodular triangulations given by Danilov, Karzanov, and Koshevoy (DKK) whose normal fans are related to (generalizations)…
math.CO2025
Rowmotion and Echelonmotion
Colin Defant, Yuhan Jiang, Rene Marczinzik +4
Given a linear extension of a finite poset , we consider the permutation matrix indexing the Schubert cell containing the Cartan matrix of with respect to . This yiel…
math.CO2024
Associahedra as moment polytopes
Michael Gekhtman, Hugh Thomas
Generalized associahedra are a well-studied family of polytopes associated to a finite-type cluster algebra and choice of starting cluster. We show that the generalized associahedr…