3 papers
math.CO2026
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…
math.CO2025
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…
math.CO2025
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…