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arxiv: 1602.04727 · v1 · pith:5IVN4DGZnew · submitted 2016-02-15 · 💻 cs.DM · math.CO

Tangles and Connectivity in Graphs

classification 💻 cs.DM math.CO
keywords tanglescomponentsconnectivitycorrespondencegraphsorderemphasisgeneral
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This paper is a short introduction to the theory of tangles, both in graphs and general connectivity systems. An emphasis is put on the correspondence between tangles of order k and k-connected components. In particular, we prove that there is a one-to-one correspondence between the triconnected components of a graph and its tangles of order 3.

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