1 citations · 1 across the 4 of their papers we have counts for
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The rank-nullity ring of a matroid
Tara Fife, Eline Mannino, Felipe Rincón
We introduce the rank-nullity ring of a matroid , which is a subring of the Chow ring of the permutahedral toric variety. This subring contains the tautological Chern classes of…
Tropicalizing Principal Minors of Positive Definite Matrices
Abeer Al Ahmadieh, Felipe Rincón, Cynthia Vinzant +1
We study the tropicalization of the image of the cone of positive definite matrices under the principal minors map. It is a polyhedral subset of the set of -concave functions on…
Log-concavity for independent sets of valuated matroids
Jeffrey Giansiracusa, Felipe Rincón, Victoria Schleis +1
Recently, several proofs of the Mason--Welsh conjecture for matroids have been found, which asserts the log-concavity of the sequence that counts independent sets of a given size.…
Chern Classes of Tropical Manifolds
Lucía López de Medrano, Felipe Rincón, Kris Shaw
We extend the definitions of Chern-Schwartz-MacPherson (CSM) cycles of matroids to tropical manifolds. To do this, we provide an alternate description of CSM cycles of matroids whi…