Volume 8, Issue 2 pp. 107-119
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Network topology and integral multicommodity flow problems

J. R. Evans

J. R. Evans

University of Cincinnati Cincinnati, Ohio

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J. J. Jarvis

J. J. Jarvis

Georgia Institute of Technology Atlanta, Georgia

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First published: Summer 1978
Citations: 10

Abstract

In this paper we investigate the nature of integer solutions to multicommodity network flow problems from a graphtheoretic viewpoint. A sufficient condition for unimodularity is developed that is based upon the topological characteristics of the associated graph, and the results are applied to certain well-structured examples.

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