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A Characterization of Weakly Bipartite Graphs

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1412))

Abstract

A labeled graph is said to be weakly bipartite if the clutter of its odd cycles is ideal. Seymour conjectured that a labeled graph is weakly bipartite if and only if it does not contain a minor called an odd K 5. An outline of the proof of this conjecture is given in this paper.

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© 1998 Springer-Verlag Berlin Heidelberg

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Guenin, B. (1998). A Characterization of Weakly Bipartite Graphs. In: Bixby, R.E., Boyd, E.A., Ríos-Mercado, R.Z. (eds) Integer Programming and Combinatorial Optimization. IPCO 1998. Lecture Notes in Computer Science, vol 1412. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-69346-7_2

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  • DOI: https://doi.org/10.1007/3-540-69346-7_2

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-64590-0

  • Online ISBN: 978-3-540-69346-8

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