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A short proof that every finite graph has a tree-decomposition displaying its tangles

Accepted version
Peer-reviewed

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Type

Article

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Authors

Carmesin, J 

Abstract

We give a short proof that every finite graph (or matroid) has a tree-decomposition that displays all maximal tangles.

This theorem for graphs is a central result of the graph minors project of Robertson and Seymour and the extension to matroids is due to Geelen, Gerards and Whittle.

Description

This is the author accepted manuscript. The final version is available from Elsevier via http://dx.doi.org/10.1016/j.ejc.2016.04.007

Keywords

4901 Applied Mathematics, 4904 Pure Mathematics, 49 Mathematical Sciences

Journal Title

European Journal of Combinatorics

Conference Name

Journal ISSN

0195-6698
1095-9971

Volume Title

58

Publisher

Elsevier BV
Sponsorship
Emmanuel College