7 search results - page 1 / 2 » The Excluded Minors for GF(4)-Representable Matroids |
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JCT
2000
14 years 10 months ago
2000
JCT
2006
14 years 10 months ago
2006
We prove that an excluded minor for the class of GF(q)-representable matroids cannot contain a large projective geometry over GF(q) as a minor.
JCT
2007
14 years 10 months ago
2007
Abstract. We prove that a binary matroid with huge branchwidth contains the cycle matroid of a large grid as a minor. This implies that an infinite antichain of binary matroids ca...
JCT
2010
14 years 8 months ago
2010
A lattice path matroid is a transversal matroid for which some antichain of intervals in some linear order on the ground set is a presentation. We characterize the minor-closed cla...
COMBINATORICS
2002
14 years 10 months ago
2002
Knowing the excluded minors for a minor-closed matroid property provides a useful alternative characterization of that property. It has been shown in [R. Hall, J. Oxley, C. Semple...