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Non-branching tree-decompositions
Published 2 Dec 2017 in math.CO and cs.DM | (1712.00653v2)
Abstract: We prove that if a graph has a tree-decomposition of width at most w, then it has a tree-decomposition of width at most w with certain desirable properties. We will use this result in a subsequent paper to show that every 2-connected graph of large path-width has a minor isomorphic to either a large tree with a vertex attached to every vertex of the tree or a large outerplanar graph.
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