Title
On sign-representable matroids
Document Type
Article
Publication Date
1-1-1993
Abstract
A matroid M will be called sign-representable if, for every basis B of M, there is a (0,1, — 1)-matrix [Ir Ι Y] representing M over Q in which the first r columns correspond to the members of B. The class of sign-representable matroids, which is closely related to the important class of regular matroids, is easily seen to be closed under both duality and the taking of minors. This paper proves several characterizations of the class, including a constructive one, and shows that the excluded minors for the class are U2,5, U 3,5, the Fano matroid and its dual, and the rank-3 whirl. © 1993, Cambridge Philosophical Society. All rights reserved.
Publication Source (Journal or Book title)
Mathematical Proceedings of the Cambridge Philosophical Society
First Page
499
Last Page
506
Recommended Citation
Oxley, J., & Whittle, G. (1993). On sign-representable matroids. Mathematical Proceedings of the Cambridge Philosophical Society, 113 (3), 499-506. https://doi.org/10.1017/S0305004100076155