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» Perfect Binary Matroids
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ARSCOM
2002
55views more  ARSCOM 2002»
13 years 7 months ago
Perfect Binary Matroids
Allan D. Mills
JCT
2007
118views more  JCT 2007»
13 years 7 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»
13 years 7 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»
13 years 7 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»
13 years 7 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