Document Type
Article
Publication Date
1-1-1990
Abstract
It was proved by Oxley that U2,4 is the only non-trivial 3-connected matroid N such that, whenever a 3-connected matroid M has an N-minor and x and y are elements of M, there is an N-minor of M using {x, y} . This paper establishes the corresponding result for binary matroids by proving that if M and N above must both be binary, then there are exactly two possibilities for N: the rank-three and rank-four wheels. © 1990, Academic Press Limited. All rights reserved.
Publication Source (Journal or Book title)
European Journal of Combinatorics
First Page
47
Last Page
56
Recommended Citation
Oxley, J., & Reid, T. (1990). The Smallest Rounded Sets of Binary Matroids. European Journal of Combinatorics, 11 (1), 47-56. https://doi.org/10.1016/S0195-6698(13)80055-8