Smooth Combinatorial Cubes are IDP
Combinatorics
2025-09-04 v1
Abstract
Tadao Oda conjectured that every smooth polytope has the Integer Decomposition Property. In this paper, we show this result for a subclass of polytopes: smooth combinatorial cubes of any dimension.
Keywords
Cite
@article{arxiv.2509.02960,
title = {Smooth Combinatorial Cubes are IDP},
author = {Juliana Curtis},
journal= {arXiv preprint arXiv:2509.02960},
year = {2025}
}