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JCT
2010
85views more  JCT 2010»
13 years 5 months ago
On inequivalent representations of matroids over non-prime fields
Abstract. For each finite field F of prime order there is a constant c such that every 4-connected matroid has at most c inequivalent representations over F. We had hoped that th...
Jim Geelen, Bert Gerards, Geoff Whittle
EJC
2007
13 years 6 months ago
The structure of the 3-separations of 3-connected matroids II
The authors showed in an earlier paper that there is a tree that displays, up to a natural equivalence, all non-trivial 3-separations of a 3-connected matroid. The purpose of this ...
James G. Oxley, Charles Semple, Geoff Whittle
JCT
2008
37views more  JCT 2008»
13 years 6 months ago
Generating weakly 4-connected matroids
Jim Geelen, Xiangqian Zhou
JCT
2011
66views more  JCT 2011»
13 years 1 months ago
A chain theorem for internally 4-connected binary matroids
Carolyn Chun, Dillon Mayhew, James Oxley