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

Published 9 Nov 2015 in math.CO | (1511.02734v2)

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.

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