Centre for Discrete and Applicable Mathematics

 CDAM Research Report, LSE-CDAM-2003-10

May 2003


A Linear Bound on the Diameter of the Transportation Polytope

Graham Brightwell, 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 x n transportation problem is at most 8(m + n - 2).


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