2 papers
math.CO2026
Combinatorial slicing problems of polytopes: How (not) to reconstruct a polytope from its slices
Anna Birkemeyer, Anouk E. Brose, Marie-Charlotte Brandenburg +1
We study combinatorial aspects of hyperplane sections of polytopes, focusing on how much the combinatorics of the sections determines the combinatorics of the original polytope. We…
math.CO2026
On cosmological polytopes, their canonical forms and their duals
Anna Birkemeyer, Torben Donzelmann, Mieke Fink +1
We compute the canonical form of the cosmological polytope for any graph in terms of the dual of the shifted cosmological polytope in two different ways. On the way, we provide an…