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
Recommended Citation
Oxley, J. (1991). On Minors Avoiding Elements in Matroids. European Journal of Combinatorics, 12 (6), 531-539. https://doi.org/10.1016/S0195-6698(13)80104-7