An upgraded Wheels-and-Whirls Theorem for 3-connected matroids

作者：Oxley James^*; Semple Charles; Whittle Geoff

来源：Journal of Combinatorial Theory - Series B, 2012, 102(3): 610-637.

DOI：10.1016/j.jctb.2011.09.005

• Matroid connectivity
• 3-Connected matroid
• Non-sequential 3-separation

Let M be a 3-connectecl-matroid that is not a wheel or a whirl. In this paper, we prove that M has an element e such that M\e or M/e is 3-connected and has no 3-separation that is not equivalent to one induced by M.

• 出版日期2012-5