A well-known result of Tutte is that U2,4, the 4-point line, is the only non-binary matroid M such that, for every element e, both Mβe and M e, the deletion and contraction of e from M, are binary. This paper characterizes those non-binary matroids M such that, for every element e, Mβe or M e is binary. © 1990.
Publication Source (Journal or Book title)
Journal of Combinatorial Theory, Series B
Oxley, J. (1990). A characterization of a class of non-binary matroids. Journal of Combinatorial Theory, Series B, 49 (2), 181-189. https://doi.org/10.1016/0095-8956(90)90025-U