5 citations · 5 across the 3 of their papers we have counts for
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Dual matroid polytopes and internal activity of independence complexes
Alexander Heaton, Jose Alejandro Samper
Shelling orders are a ubiquitous tool used to understand invariants of cell complexes. Significant effort has been made to develop techniques to decide when a given complex is shel…
Hopf monoids of ordered simplicial complexes
Federico Castillo, Jeremy Martin, Jose Alejandro Samper
We study ordered matroids and generalized permutohedra from a Hopf theoretic point of view. Our main object is a Hopf monoid in the vector species of extended generalized permutahe…
Finiteness theorems for matroid complexes with prescribed topology
Federico Castillo, Jose Alejandro Samper
It is known that there are finitely many simplicial complexes (up to isomorphism) with a given number of vertices. Translating to the language of -vectors, there are finitely ma…