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

• Type: Journal
• Year: 2008
• Where: JCT
• Authors: James G. Oxley, Charles Semple, Geoff Whittle
• Keywords: 3-connected Matroid M, JCT 2006, JCT 2008, Matroid, Triangle