Minors of 3-Connected Matroids

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31 Scopus citations


In [5] it was shown that if M is a 3-connected matroid with a minor isomorphic to U24, then every pair of elements of M are in a U24 minor. The proof was fairly complicated. Here we derive that theorem from a more general result. We show that to test whether U24 (or any other 3-connected matroid N) has the property described above, it is only necessary to test that it works for those matroids M with 5 (or more generally, |E (N)| + 1) elements. This is essentially a lemma which will be used in a subsequent paper.

Original languageEnglish (US)
Pages (from-to)375-382
Number of pages8
JournalEuropean Journal of Combinatorics
Issue number4
StatePublished - 1985
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Discrete Mathematics and Combinatorics


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