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Bicolorings and equitable bicolorings of matrices

By Michele Conforti, Gérard Cornuéjols and Giacomo Zambelli

Abstract

Two classical theorems of Ghouila-Houri and Berge characterize total unimodularity and balancedness in terms of equitable bicolorings and bicolorings, respectively. In this paper, we prove a bicoloring result that provides a common generalization of these two theorems

Topics: QA Mathematics
Publisher: Society for Industrial and Applied Mathematics
Year: 2004
OAI identifier: oai:eprints.lse.ac.uk:31727
Provided by: LSE Research Online
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