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Efficient Analy sis of Graphs with Small Minimal Separators

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Graph-Theoretic Concepts in Computer Science (WG 1999)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1665))

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Abstract

We consider the class C* of graphs whose minimal separators have a fixed bounded size. We give an O(nm)-time algorithm computing an optimal tree-decomposition of every graph in C* with n vertices and m edges. Furthermore we make evident that many NP-complete problems are solvable in polynomial time when restricted to this class. Both claims hold although C* contains graphs of arbitrarily large tree-width.

The work of the author was supported by the German Research Association (DFG) grant BR 835/7-1

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Author information

Authors and Affiliations

  1. University of Passau, 94030, Passau, Germany

    K. Skodinis

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  1. K. Skodinis
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Editor information

Editors and Affiliations

  1. Institute for Theoretical Computer Science ETH Zürich ETH Zentrum, 8092, Zürich, Switzerland

    Peter Widmayer , Gabriele Neyer  & Stephan Eidenbenz ,  & 

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Skodinis, K. (1999). Efficient Analy sis of Graphs with Small Minimal Separators. In: Widmayer, P., Neyer, G., Eidenbenz, S. (eds) Graph-Theoretic Concepts in Computer Science. WG 1999. Lecture Notes in Computer Science, vol 1665. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46784-X_16

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  • DOI: https://doi.org/10.1007/3-540-46784-X_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66731-5

  • Online ISBN: 978-3-540-46784-7

  • eBook Packages: Springer Book Archive

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