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On matrices with the Edmonds-Johnson property arising from bidirected graphs

Del Pia, Alberto, Musitelli, Antoine and Zambelli, Giacomo (2018) On matrices with the Edmonds-Johnson property arising from bidirected graphs. Journal of Combinatorial Theory, Series B, 130. pp. 39-91. ISSN 0095-8956

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Identification Number: 10.1016/j.jctb.2017.09.013

Abstract

In this paper we study totally half-modular matrices obtained from {0,±1}-matrices with at most two nonzero entries per column by multiplying by 2 some of the columns. We give an excluded-minor characterization of the matrices in this class having strong Chv`atal rank 1. Our result is a special case of a conjecture by Gerards and Schrijver [11]. It also extends a well known theorem of Edmonds and Johnson [10].

Item Type: Article
Official URL: https://www.journals.elsevier.com/journal-of-combi...
Additional Information: © 2017 Elsevier Ltd.
Divisions: Mathematics
Subjects: Q Science > QA Mathematics
Sets: Departments > Mathematics
Date Deposited: 05 Oct 2017 15:30
Last Modified: 20 Oct 2019 00:04
URI: http://eprints.lse.ac.uk/id/eprint/84485

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