3 papers
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
Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements
Jose Bastidas, Sarah Brauner, Mathieu Guay-Paquet +3
Given a permutation, there is a well-developed literature studying the number of ways one can factor it into a product of other permutations subject to certain conditions. We initi…
math.CO2023
Minimal skew semistandard tableaux and the Hillman--Grassl correspondence
Alejandro H. Morales, Greta Panova, GaYee Park
Standard tableaux of skew shape are fundamental objects in enumerative and algebraic combinatorics and no product formula for the number is known. In 2014, Naruse gave a formula (N…