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Minimum Edge Ranking Spanning Trees of Threshold Graphs

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Algorithms and Computation (ISAAC 2002)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2518))

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Abstract

Given a graph G, the minimum edge ranking spanning tree problem (MERST) is to find a spanning tree of G whose edge ranking is minimum. However, this problem is known to be NP-hard for general graphs. In this paper, we show that the problem MERST has a polynomial time algorithm for threshold graphs, which have useful applications in practice. The result is also significant in the sense that this is a first non-trivial graph class for which the problem MERST is found to be polynomially solvable.

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Author information

Authors and Affiliations

  1. Division of Systems Science, Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka, 560-8531, Japan

    Kazuhisa Makino

  2. Department of Mathematics and Information Sciences, College of Integrated Arts and Sciences, Osaka Prefecture University, Sakai, 599-8531, Japan

    Yushi Uno

  3. Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University, Kyoto, 606-8501, Japan

    Toshihide Ibaraki

Authors
  1. Kazuhisa Makino
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  2. Yushi Uno
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  3. Toshihide Ibaraki
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Editor information

Editors and Affiliations

  1. School of Computer Science, Carleton University, 1125 Colonel By Drive, Ottawa, Ontario, Canada, K1S 5B6

    Prosenjit Bose  & Pat Morin  & 

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Makino, K., Uno, Y., Ibaraki, T. (2002). Minimum Edge Ranking Spanning Trees of Threshold Graphs. In: Bose, P., Morin, P. (eds) Algorithms and Computation. ISAAC 2002. Lecture Notes in Computer Science, vol 2518. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36136-7_38

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  • DOI: https://doi.org/10.1007/3-540-36136-7_38

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-00142-3

  • Online ISBN: 978-3-540-36136-7

  • eBook Packages: Springer Book Archive

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