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Edge separators for planar graphs and their applications

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Mathematical Foundations of Computer Science 1988 (MFCS 1988)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 324))

Abstract

We show that every planar graph with n vertices and a maximal degree k has an 0(√kn)-edge separator. This improves known results about edge separators of graphs with vertex degree bounded by a constant. We show that any n vertex tree of a maximal degree k can be divided into two parts of ≤ n / 2 vertices by removing 0(klog n/log k) edges. The sizes of both separators are existentially optimal. We apply the edge separator to average cost efficient embeddings of planar graphs of degree k into binary trees, meshes and hypercubes.

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Author information

Authors and Affiliations

  1. Institute of Informatics, Warsaw University, PKiN, 00901, Warsaw, Poland

    Krzystof Diks

  2. Centre of Informatics and Computer Technology, Bulgarian Academy of Sciences, Acad. Bonchev str. bl. 25-A, 1113, Sofia, Bulgaria

    Hristo N. Djidjev

  3. Institute of Technical Cybernetics, Slovak Academy of Sciences, Dúbravská 9, 842 37, Bratislava, Czechoslovakia

    Ondrej Sykora & Imrich Vrto

Authors
  1. Krzystof Diks
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  2. Hristo N. Djidjev
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  3. Ondrej Sykora
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  4. Imrich Vrto
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Editor information

Michal P. Chytil Václav Koubek Ladislav Janiga

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© 1988 Springer-Verlag Berlin Heidelberg

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Diks, K., Djidjev, H.N., Sykora, O., Vrto, I. (1988). Edge separators for planar graphs and their applications. In: Chytil, M.P., Koubek, V., Janiga, L. (eds) Mathematical Foundations of Computer Science 1988. MFCS 1988. Lecture Notes in Computer Science, vol 324. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0017151

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  • DOI: https://doi.org/10.1007/BFb0017151

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50110-7

  • Online ISBN: 978-3-540-45926-2

  • eBook Packages: Springer Book Archive

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