k-regular matroids (1997)
AuthorsSemple, C.show all
The class of matroids representable over all fields is the class of regular matroids. The class of matroids representable over all fields except perhaps GF(2) is the class of near-regular matroids. This paper considers a generalisation of these classes to the so called k-regular matroids. The main result of the paper determines the automorphisms of the algebraic structure associated with the class of k-regular matroids. This result is the first step in establishing a unique representation property for k-regular matroids.
CitationSemple, C. (1997) k-regular matroids. Auckland, New Zealand: Combinatorics, Complexity, and Logic: Proceedings of the First International Conference on Discrete Mathematics and Theoretical Computer Science, 1996. 376-386.
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