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An improved Kalai-Kleitman bound for the diameter of a polyhedron

Michael J. Todd (mjt7***at***cornell.edu)

Abstract: Kalai and Kleitman established the bound $n^{\log(d) + 2}$ for the diameter of a $d$-dimensional polyhedron with $n$ facets. Here we improve the bound slightly to $(n-d)^{\log(d)}$.

Keywords: convex polyhedra, diameter

Category 1: Linear, Cone and Semidefinite Programming (Linear Programming )

Citation: School of Operations Research and Information Engineering, Cornell University, Ithaca NY, USA, February 2014

Download: [PDF]

Entry Submitted: 02/14/2014
Entry Accepted: 02/14/2014
Entry Last Modified: 03/20/2014

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