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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