A note on seminormality of cut polytopes

TL;DR

This paper proves that seminormality and normality are equivalent properties of cut polytopes, resolving two longstanding conjectures in the field.

Contribution

It establishes the equivalence of seminormality and normality for cut polytopes, settling two open conjectures.

Findings

Seminormality of cut polytopes is equivalent to their normality.

Resolved two conjectures about seminormality of cut polytopes.

Abstract

We prove that seminormality of cut polytopes is equivalent to normality. This settles two conjectures regarding seminormality of cut polytopes.