Title

On Minors Avoiding Elements in Matroids

Document Type

Article

Publication Date

1-1-1991

Abstract

Let ℱ be a collection of 3-connected matroids, none a proper minor of another, such that if M is a 3-connected matroid having a proper ℱ-minor and e is an element of M, then M has an ℱ-minor avoiding e. This paper proves that there are precisely two collections ℱ with this property: {U2,4} and {U2,4, M(K4)}. Several extensions of this result and some similar results for 2-connected matroids are also established. © 1991, Academic Press Limited. All rights reserved.

Publication Source (Journal or Book title)

European Journal of Combinatorics

First Page

531

Last Page

539

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