4 papers
Mirković-Vilonen Polytopes from Combinatorics
Mario Sanchez
Mirković-Vilonen (MV) polytopes are a class of generalized permutahedra originating from geometric representation theory. In this paper we study MV polytopes coming from matroid po…
Lattice Path Delta Matroids
Douglas M. Chen, Mario Sanchez, John Veliz +1
We initiate the study of a type generalization of the lattice path matroids defined by Bonin, de Mier, and Noy. These are delta matroids whose feasible sets are in bijection…
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…
Dependent Random Graphs and Multiparty Pointer Jumping
Joshua Brody, Mario Sanchez
We initiate a study of a relaxed version of the standard Erdos-Renyi random graph model, where each edge may depend on a few other edges. We call such graphs "dependent random grap…