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» Perfect Binary Matroids
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ARSCOM
2002
55views more  ARSCOM 2002»
14 years 10 months ago
Perfect Binary Matroids
Allan D. Mills
JCT
2007
118views more  JCT 2007»
14 years 10 months ago
Excluding a planar graph from GF(q)-representable matroids
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...
Jim Geelen, Bert Gerards, Geoff Whittle
DM
2007
100views more  DM 2007»
14 years 10 months ago
Decompositions of signed-graphic matroids
We give a decomposition theorem for signed graphs whose frame matroids are binary and a decomposition theorem for signed graphs whose frame matroids are quaternary.
Daniel C. Slilaty, Hongxun Qin
DM
2010
108views more  DM 2010»
14 years 10 months ago
Internally 4-connected binary matroids with cyclically sequential orderings
We characterize all internally 4-connected binary matroids M with the property that the ground set of M can be ordered (e0, . . . , en-1) in such a way that {ei, . . . , ei+t} is 4...
Jeremy Aikin, Carolyn Chun, Rhiannon Hall, Dillon ...
CPC
2000
54views more  CPC 2000»
14 years 10 months ago
Involutions Of Connected Binary Matroids
We prove that if an involution is an automorphism of a connected binary matroid M, then there is a hyperplane of M that is invariant under . We also consider extensions of this re...
Joseph E. Bonin