Minors of 3-Connected Matroids

Research output: Contribution to journalArticle

30 Scopus citations

Abstract

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
Volume6
Issue number4
DOIs
StatePublished - Jan 1 1985
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Discrete Mathematics and Combinatorics

Fingerprint Dive into the research topics of 'Minors of 3-Connected Matroids'. Together they form a unique fingerprint.

  • Cite this