On Self-Duality of Branchwidth in Graphs of Bounded Genus

Abstract : 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 $g$.
Type de document :
Communication dans un congrès
8th Cologne Twente Workshop on Graphs and Combinatorial Optimization (CTW), 2009, Paris, France. pp.19-22, 2009
Domaine :

https://hal.inria.fr/hal-00795413
Contributeur : Alain Monteil <>
Soumis le : jeudi 28 février 2013 - 10:54:46
Dernière modification le : mercredi 30 août 2017 - 01:11:08

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• HAL Id : hal-00795413, version 1

Citation

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, 2009. 〈hal-00795413〉

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