5 citations · 10 across the 11 of their papers we have counts for
17 papers
Characterization of Stanley-Reisner varieties by their automorphism group
Roberto Díaz, José Alejandro Samper
We study the automorphism ind-group of a Stanley-Reisner variety through a combinatorial toolkit on the underlying complex: a facet closure operator, its Demazure roots, and…
Poset Partitions and the Combinatorics of the -Index
Felipe Caster, Dan Guyer, José Alejandro Samper
We introduce a new class of Eulerian posets, called S-partitionable posets, which have a non-negative cd-index. These posets are a generalization of S-shellable complexes introduce…
Discrete Curvatures and Convex Polytopes
Jesús A. De Loera, Jillian Eddy, Sawyer Jack Robertson +1
We study Forman--Ricci and effective resistance curvatures on the skeleta of convex polytopes. Our guiding questions are: how frequently do polytopal graphs exhibit everywhere posi…
The -index of semi-Eulerian posets
Martina Juhnke-Kubitzke, José Alejandro Samper, Lorenzo Venturello
We generalize the definition of the -index of an Eulerian poset to the class of semi-Eulerian posets. For simplicial semi-Eulerian Buchsbaum posets, we show that all coefficien…
Unbounded matroids
Jonah Berggren, Jeremy L. Martin, José A. Samper
A matroid base polytope is a polytope in which each vertex has 0,1 coordinates and each edge is parallel to a difference of two coordinate vectors. Matroid base polytopes are descr…
The cone of completely positive matrices
Max Pfeffer, Jose Alejandro Samper
We study the cone of completely positive (cp) matrices for the first interesting case . This is a semialgebraic set, which means that the polynomial equalities and inequliti…