Wild triangles in 3-connected matroids

Type of content
Journal Article
Thesis discipline
Degree name
Publisher
University of Canterbury. Mathematics and Statistics.
Journal Title
Journal ISSN
Volume Title
Language
Date
2008
Authors
Oxley, J.
Semple, C.
Whittle, G.
Abstract

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.

Description
Citation
Oxley, J., Semple, C., Whittle, G. (2008) Wild triangles in 3-connected matroids. Journal of Combinatorial Theory Series B, 98(2), pp. 291-323.
Keywords
Tutte's Triangle Lemma, exposed 3-separation, flower
Ngā upoko tukutuku/Māori subject headings
ANZSRC fields of research
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