4 citations · 8 across the 8 of their papers we have counts for
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math.CO2020★ 2 cited
Valuations and the Hopf Monoid of Generalized Permutahedra
Federico Ardila, Mario Sanchez
The goal of this paper is to show that valuation theory and Hopf theory are compatible on the class of generalized permutahedra. We prove that the Hopf structure on…
math.CO2020★ 2 cited
The geometry of random tournaments
Mario Sanchez, Brett Kolesnik
A tournament is an orientation of a graph. Each edge represents a match, directed towards the winner. The score sequence lists the number of wins by each team. Landau (1953) charac…
math.CO2020★ 4 cited
The Universal Valuation of Coxeter Matroids
Christopher Eur, Mario Sanchez, Mariel Supina
Coxeter matroids generalize matroids just as flag varieties of Lie groups generalize Grassmannians. Valuations of Coxeter matroids are functions that behave well with respect to su…