The Highly Connected Even-Cycle and Even-Cut Matroids

Kevin Grace, Stefan H.M. Van Zwam

Research output: Contribution to journalArticle (Academic Journal)peer-review

1 Citation (Scopus)
113 Downloads (Pure)


The classes of even-cycle matroids, even-cycle matroids with a blocking pair, and even-cut matroids each have hundreds of excluded minors. We show that the number of excluded minors for these classes can be drastically reduced if we consider in each class only the highly connected matroids of sufficient size.
Original languageEnglish
Pages (from-to)26-67
Number of pages42
JournalSIAM Journal on Discrete Mathematics
Issue number1
Publication statusPublished - 8 Jan 2019


  • Blocking pair
  • Even-cut
  • Even-cycle


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