A result of Walton and the author establishes that every 3-connected matroid of rank and corank at least three has one of five six-element rank-3 self-dual matroids as a minor. This paper characterizes two classes of matroids that arise when one excludes as minors three of these five matroids. One of these results extends the author's characterization of the ternary matroids with no M(K4)-minor, while the other extends Tutte's excluded-minor characterization of binary matroids. © 1989, Academic Press Limited. All rights reserved.
Publication Source (Journal or Book title)
European Journal of Combinatorics
Oxley, J. (1989). A Characterization of Certain Excluded-Minor Classes of Matroids. European Journal of Combinatorics, 10 (3), 275-279. https://doi.org/10.1016/S0195-6698(89)80063-0