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» The structure of the 3-separations of 3-connected matroids I...
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EJC
2007
13 years 4 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
84views more  JCT 2008»
13 years 3 months ago
Wild triangles in 3-connected matroids
Let {a, b, c} be a triangle in a 3-connected matroid M. In this paper, we describe the structure of M relative to {a, b, c} when, for all t in {a, b, c}, either M\t is not 3-connec...
James G. Oxley, Charles Semple, Geoff Whittle
EJC
2007
13 years 4 months ago
The structure of 3-connected matroids of path width three
A 3-connected matroid M is sequential or has path width 3 if its ground set E(M) has a sequential ordering, that is, an ordering (e1, e2, . . . , en) such that ({e1, e2, . . . , ek...
Rhiannon Hall, James G. Oxley, Charles Semple