Title

Relaxations of GF(4)-representable matroids

Document Type

Article

Publication Date

6-22-2018

Abstract

We consider the GF(4)-representable matroids with a circuit-hyperplane such that the matroid obtained by relaxing the circuit-hyperplane is also GF(4)-representable. We characterize the structure of these matroids as an application of structure theorems for the classes of U2,4-fragile and {U2,5, U3,5}-fragile matroids. In addition, we characterize the forbidden submatrices in GF(4)-representations of these matroids.

Publication Source (Journal or Book title)

Electronic Journal of Combinatorics

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