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Conference Papers Year : 2007

Branchwidth of Graphic Matroids

Stéphan Thomassé

Abstract

Branchwidth of Graphs and Matroids were introduced by Robertson and Seymour in their Graph Minor X paper. In 2002, Geelen, Gerards, Robertson and Whittle asked whether the branchwidth of a bridgeless graph is equal to the branchwidth of its cycle matroid. With Frederic Mazoit, we give a positive answer to this question. A straightforward corollary being that the branchwidth of a planar bridgeless graph is equal to the branchwidth of its dual.
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Dates and versions

lirmm-00197155 , version 1 (07-10-2008)

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  • HAL Id : lirmm-00197155 , version 1

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Stéphan Thomassé. Branchwidth of Graphic Matroids. BCC'07: British Combinatorial Conference, United Kingdom. ⟨lirmm-00197155⟩
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