Document Type
Article
Publication Date
8-1-2011
Abstract
We show that the excluded minors for the class of matroids that are binary or ternary are U2,5, U3,5, U2,4position indicatorF7, U2,4position indicatorF7*, U2,4position indicator2F7, U2,4position indicator2F7*, and the unique matroids obtained by relaxing a circuit-hyperplane in either AG(3,2) or T12. The proof makes essential use of results obtained by Truemper on the structure of almost-regular matroids. © 2011 Elsevier Ltd.
Publication Source (Journal or Book title)
European Journal of Combinatorics
First Page
891
Last Page
930
Recommended Citation
Mayhew, D., Oporowski, B., Oxley, J., & Whittle, G. (2011). The excluded minors for the class of matroids that are binary or ternary. European Journal of Combinatorics, 32 (6), 891-930. https://doi.org/10.1016/j.ejc.2011.01.017