# Reflexive polytopes and discrete polymatroids

**Authors:** J\"urgen Herzog, Takayuki Hibi

arXiv: 2302.12703 · 2023-02-27

## TL;DR

This paper classifies discrete polymatroids with independence polytopes that are reflexive, contributing to the understanding of the geometric properties of these combinatorial structures.

## Contribution

It provides a classification of discrete polymatroids based on the reflexivity of their independence polytopes, a novel geometric perspective.

## Key findings

- Identifies conditions for reflexivity in independence polytopes
- Classifies discrete polymatroids with reflexive polytopes
- Enhances understanding of geometric properties of polymatroids

## Abstract

A classification of discrete polymatroids whose independence polytopes are reflexive will be presented.

## Full text

_Full body text omitted from this summary view._ Fetch the complete paper as Markdown: https://tomesphere.com/paper/2302.12703/full.md

## References

2 references — full list in the complete paper: https://tomesphere.com/paper/2302.12703/full.md

---
Source: https://tomesphere.com/paper/2302.12703