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Minimal Interval Completion Through Graph Exploration

  • Karol Suchan
  • Ioan Todinca
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4288)

Abstract

Given an arbitrary graph G=(V,E) and an interval graph H=(V,F) with E ⊆ F we say that H is an interval completion of G. The graph H is called a minimal interval completion of G if, for any sandwich graph H ′ = (V,F ′) with E ⊆ F′ ⊂ F, H ′ is not an interval graph. In this paper we give a \({{\mathcal{O}}(nm)}\) time algorithm computing a minimal interval completion of an arbitrary graph. The output is an interval model of the completion.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Karol Suchan
    • 1
    • 2
  • Ioan Todinca
    • 1
  1. 1.LIFOUniversité d’OrléansOrléansFrance
  2. 2.Department of Discrete Mathematics, Faculty of Applied MathematicsAGH – University of Science and TechnologyCracowPoland

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