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» Involutions Of Connected Binary Matroids
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CPC
2000
54views more  CPC 2000»
13 years 3 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
DM
2010
108views more  DM 2010»
13 years 3 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 ...
JCT
2011
66views more  JCT 2011»
12 years 10 months ago
A chain theorem for internally 4-connected binary matroids
Carolyn Chun, Dillon Mayhew, James Oxley
JGT
2010
103views more  JGT 2010»
13 years 2 months ago
Characterizing 3-connected planar graphs and graphic matroids
: A well-known result of Tutte states that a 3-connected graph G is planar if and only if every edge of G is contained in exactly two induced non-separating circuits. Bixby and Cun...
Manoel Lemos, Talmage James Reid, Haidong Wu
DM
1998
195views more  DM 1998»
13 years 3 months ago
On basis-exchange properties for matroids
We give a counterexample to a conjecture by Wild about binary matroids. We connect two equivalent lines of research in matroid theory: a simple type of basis-exchange property and ...
Joseph E. Bonin