Abstract | ||
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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 U-2,U-4-fragile and {U-2,U-5,U-3,U-5}-fragile matroids. In addition, we characterize the forbidden submatrices in GF(4)-representations of these matroids. |
Year | Venue | Field |
---|---|---|
2018 | ELECTRONIC JOURNAL OF COMBINATORICS | Matroid,Discrete mathematics,Combinatorics,Graphic matroid,Mathematics,Block matrix |
DocType | Volume | Issue |
Journal | 25 | 2 |
ISSN | Citations | PageRank |
1077-8926 | 0 | 0.34 |
References | Authors | |
2 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Ben Clark | 1 | 0 | 0.68 |
James Oxley | 2 | 397 | 57.57 |
Stefan H. M. van Zwam | 3 | 60 | 8.60 |