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math.CO2014★ 5 cited
Shellability, Ehrhart Theory, and -stable Hypersimplices
Benjamin Braun, Liam Solus
Hypersimplices are well-studied objects in combinatorics, optimization, and representation theory. For each hypersimplex, we define a new family of subpolytopes, called r-stable hy…
math.CO2014
Ehrhart series, unimodality, and integrally closed reflexive polytopes
Benjamin Braun, Robert Davis
An interesting open problem in Ehrhart theory is to classify those lattice polytopes having a unimodal -vector. Although various sufficient conditions have been found, necessa…