Matroids with the Circuit Cover Property

نویسندگان

  • Xudong Fu
  • Luis A. Goddyn
چکیده

We verify a conjecture of P. Seymour (Europ. J. Combinatorics 2, p. 289) regarding circuits of a binary matroid. A circuit cover of a integer-weighted matroid (M; p) is a list of circuits of M such that each element e is in exactly p(e) circuits from the list. We characterize those binary matroids for which two obvious necessary conditions for a weighting (M; p) to have a circuit cover are also suucient.

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عنوان ژورنال:
  • Eur. J. Comb.

دوره 20  شماره 

صفحات  -

تاریخ انتشار 1999