A note on the diameter of convex polytope

Yaguang Yang

doi:10.1016/j.dam.2020.11.008

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arXiv · 1809.06780

A note on the diameter of convex polytope

Yaguang Yang

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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.

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Yaguang Yang. 2020-11-04. A note on the diameter of convex polytope. https://doi.org/10.1016/j.dam.2020.11.008

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