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A Characterization of Mixed Unit Interval Graphs

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Graph-Theoretic Concepts in Computer Science (WG 2014)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 8747))

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Abstract

We give a complete characterization of mixed unit interval graphs, the intersection graphs of closed, open, and half-open unit intervals of the real line. This is a proper superclass of the well known unit interval graphs. Our result solves a problem posed by Dourado, Le, Protti, Rautenbach and Szwarcfiter (Mixed unit interval graphs. Discrete Math. 312, 3357–3363 (2012)). Our characterization also leads to a polynomial-time recognition algorithm for mixed unit interval graphs.

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Author information

Authors and Affiliations

  1. Institut für Optimierung und Operations Research, Universität Ulm, Ulm, Germany

    Felix Joos

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  1. Felix Joos
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Correspondence to Felix Joos .

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Editors and Affiliations

  1. LITA, Université de Lorraine, Metz Cedex 01, France

    Dieter Kratsch

  2. Université d'Orléans, Orléans, France

    Ioan Todinca

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Joos, F. (2014). A Characterization of Mixed Unit Interval Graphs. In: Kratsch, D., Todinca, I. (eds) Graph-Theoretic Concepts in Computer Science. WG 2014. Lecture Notes in Computer Science, vol 8747. Springer, Cham. https://doi.org/10.1007/978-3-319-12340-0_27

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  • DOI: https://doi.org/10.1007/978-3-319-12340-0_27

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-12339-4

  • Online ISBN: 978-3-319-12340-0

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