Bicolorings and equitable bicolorings of matrices

Conforti, Michele; Cornuéjols, Gérard; and Zambelli, Giacomo (2004) Bicolorings and equitable bicolorings of matrices. In: The Sharpest Cut : the Impact of Manfred Padberg and His Work. MPS-SIAM series on optimization . Society for Industrial and Applied Mathematics, Philadelphia, USA, pp. 33-37. ISBN 9780898715521
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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.

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