Title
Relaxations of GF(4)-Representable Matroids.
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 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 Clark100.68
James Oxley239757.57
Stefan H. M. van Zwam3608.60