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Wild triangles in 3-connected matroids (2008)

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Journal Articles
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http://hdl.handle.net/10092/1714
DOI
10.1016/j.jctb.2007.06.004
Publisher
University of Canterbury. Mathematics and Statistics.
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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.

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.
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Keywords
Tutte's Triangle Lemma; exposed 3-separation; flower
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