• Title of article

    A Characterization of Weakly Bipartite Graphs

  • Author/Authors

    Guenin، نويسنده , , Bertrand، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2001
  • Pages
    57
  • From page
    112
  • To page
    168
  • Abstract
    A signed graph is said to be weakly bipartite if the clutter of its odd circuits is ideal. P. D. Seymour (1977, J. Combin. Theory Ser. B23, 189–122; 1981, Europ. J. Combin. 257–290) conjectured that a signed graph is weakly bipartite if and only if it does not contain a minor called an odd K5. A proof of this conjecture is given in this paper.
  • Keywords
    Weakly bipartite graphs , ideal clutters , minors , binary clutters
  • Journal title
    Journal of Combinatorial Theory Series B
  • Serial Year
    2001
  • Journal title
    Journal of Combinatorial Theory Series B
  • Record number

    1526886