English

A note on the diameter of convex polytope

Metric Geometry 2020-12-09 v2 Combinatorics Optimization and Control

Abstract

This short note extends a recent result (Bonifas et al, On sub-determinants and the diameter of polyhedra, Discrete Computational Geometry, 52, 2014) of an upper bound of the diameter of a convex polytope defined by an integer matrix to a similar upper bound of the diameter of a convex polytope defined by a real matrix. It also shows, by an example, that the new bound may be better than the ones of Bonifas et al.

Keywords

Cite

@article{arxiv.1809.06780,
  title  = {A note on the diameter of convex polytope},
  author = {Yaguang Yang},
  journal= {arXiv preprint arXiv:1809.06780},
  year   = {2020}
}

Comments

7 pages

R2 v1 2026-06-23T04:10:16.776Z