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 language | English (US) |
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Pages (from-to) | 375-382 |
Number of pages | 8 |
Journal | European Journal of Combinatorics |
Volume | 6 |
Issue number | 4 |
DOIs | |
State | Published - 1985 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Discrete Mathematics and Combinatorics