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Intervalizing k-colored graphs

  • Algorithms I
  • Conference paper
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Automata, Languages and Programming (ICALP 1995)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 944))

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Abstract

The problem to determine whether a given k-colored graph is a subgraph of a properly k-colored interval graph is shown to be solvable in O(n) time when k = 2, solvable in O(n 2) time when k = 3, and to be NP-complete for any fixed k ≥ 4. This problem has an application in DNA physical mapping. Our algorithm for k = 3 is based on an extensive analysis of the precise structure of graphs of pathwidth two, dynamic programming on certain parts of the input graph, and a careful combination of the results for the different parts.

This research was partially supported by the Foundation for Computer Science (S.I.O.N) of the Netherlands Organization for Scientific Research (N.W.O.) and partially by the ESPRIT Basic Research Actions of the EC under contract 7141 (project ALCOM II).

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Authors and Affiliations

  1. Department of Computer Science, Utrecht University, P.O. Box 80.089, 3508, TB Utrecht, The Netherlands

    Hans L. Bodlaender & Babette de Fluiter

Authors
  1. Hans L. Bodlaender
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  2. Babette de Fluiter
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Editor information

Zoltán Fülöp Ferenc Gécseg

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© 1995 Springer-Verlag Berlin Heidelberg

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Bodlaender, H.L., de Fluiter, B. (1995). Intervalizing k-colored graphs. In: Fülöp, Z., Gécseg, F. (eds) Automata, Languages and Programming. ICALP 1995. Lecture Notes in Computer Science, vol 944. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60084-1_65

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  • DOI: https://doi.org/10.1007/3-540-60084-1_65

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60084-8

  • Online ISBN: 978-3-540-49425-6

  • eBook Packages: Springer Book Archive

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