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
Recommended Citation
Clark, B., Oxley, J., & van Zwam, S. (2018). Relaxations of GF(4)-representable matroids. Electronic Journal of Combinatorics, 25 (2) https://doi.org/10.37236/6959
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