Wild triangles in 3-connected matroids

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Author
Oxley, J.
Semple, C.
Whittle, G.
Date
2008
Permanent Link
http://hdl.handle.net/10092/1714

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-connected, or M\t has a 3-separation that is not equivalent to one induced by M.

Subjects
Tutte's Triangle Lemma
 
exposed 3-separation
 
flower
 
Fields of Research::230000 Mathematical Sciences::230100 Mathematics::230101 Mathematical logic, set theory, lattices and combinatorics
 
Fields of Research::230000 Mathematical Sciences::230100 Mathematics::230103 Rings and algebras
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