Centre for Discrete and Applicable Mathematics

CDAM Research Report, LSE-CDAM-2002-09

November 2002

A Quadratic Bound on the Diameter of the Transportation Polytope

Jan van den Heuvel and Leen Stougie

Abstract

We prove that the combinatorial diameter of the skeleton of the polytope of feasible solutions of any m × n transportation problem is less than (m + n)² / 2.

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		CDAM Research Reports Series Centre for Discrete and Applicable Mathematics London School of Economics Houghton Street London WC2A 2AE, U.K.
		Phone: +44(0)-20-7955 7732. Fax: +44(0)-20-7955 6877. Email: info@maths.lse.ac.uk