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Communication Dans Un Congrès Année : 2009

On Self-Duality of Branchwidth in Graphs of Bounded Genus

Résumé

A graph parameter is self-dual in some class of graphs embeddable in some surface if its value does not change in the dual graph more than a constant factor. Self-duality has been examined for several width-parameters, such as branchwidth in graphs in some surface. In this direction, we prove that $\\mathbf bw(G^*) \\leq 6\\times \\mathbf bw(G) +2g-4$ for any graph $G$ embedded in a surface of Euler genus $g$.

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Autre [cs.OH]
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Dates et versions

hal-00795413 , version 1 (28-02-2013)

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  • HAL Id : hal-00795413 , version 1

Citer

Dimitrios M. Thilikos. On Self-Duality of Branchwidth in Graphs of Bounded Genus. 8th Cologne Twente Workshop on Graphs and Combinatorial Optimization (CTW), 2009, Paris, France. pp.19-22. ⟨hal-00795413⟩
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