Excluding Graphs as Immersions in Surface Embedded Graphs

Abstract : We prove a structural characterization of graphs that forbid a fixed graph H as an immersion and can be embedded in a surface of Euler genus γ. In particular, we prove that a graph G that excludes some connected graph H as an immersion and is embedded in a surface of Euler genus γ has either “small” treewidth (bounded by a function of H and γ) or “small” edge connectivity (bounded by the maximum degree of H). Using the same techniques we also prove an excluded grid theorem on bounded genus graphs for the immersion relation.
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Communication dans un congrès
WG: Workshop on Graph-Theoretic Concepts in Computer Science, Jun 2013, Lübeck, Germany. 39th International Workshop, WG 2013, Lübeck, Germany, June 19-21, 2013, Revised Papers, LNCS (8165), pp.274-285, 2013, Graph-Theoretic Concepts in Computer Science. 〈10.1007/978-3-642-45043-3_24〉
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https://hal-lirmm.ccsd.cnrs.fr/lirmm-01483644
Contributeur : Dimitrios M. Thilikos <>
Soumis le : lundi 6 mars 2017 - 11:35:21
Dernière modification le : jeudi 15 novembre 2018 - 15:40:22

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Archontia C. Giannopoulou, Marcin Kamiński, Dimitrios M. Thilikos. Excluding Graphs as Immersions in Surface Embedded Graphs. WG: Workshop on Graph-Theoretic Concepts in Computer Science, Jun 2013, Lübeck, Germany. 39th International Workshop, WG 2013, Lübeck, Germany, June 19-21, 2013, Revised Papers, LNCS (8165), pp.274-285, 2013, Graph-Theoretic Concepts in Computer Science. 〈10.1007/978-3-642-45043-3_24〉. 〈lirmm-01483644〉

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