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International Symposium on Combinatorial Optimization

ISCO 2018: Combinatorial Optimization pp 89–100Cite as

Characterising Chordal Contact \(B_0\)-VPG Graphs

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Part of the Lecture Notes in Computer Science book series (LNTCS,volume 10856)

Abstract

A graph G is a \(B_0\)-VPG graph if it is the vertex intersection graph of horizontal and vertical paths on a grid. A graph G is a contact \(B_0\)-VPG graph if the vertices can be represented by interiorly disjoint horizontal or vertical paths on a grid and two vertices are adjacent if and only if the corresponding paths touch. In this paper, we present a minimal forbidden induced subgraph characterisation of contact \(B_0\)-VPG graphs within the class of chordal graphs and provide a polynomial-time algorithm for recognising these graphs.

Keywords

  • Vertex intersection graphs
  • Contact \(B_0\)-VPG graphs
  • Forbidden induced subgraphs
  • Chordal graphs
  • Polynomial-time algorithm

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Author information

Authors and Affiliations

  1. Facultad de Ciencias Exactas y Naturales, Departamento de Computación, Universidad de Buenos Aires, Buenos Aires, Argentina

    Flavia Bonomo & Mariano Leonardo Rean

  2. Instituto de Investigación en Ciencias de la Computación (ICC), CONICET-Universidad de Buenos Aires, Buenos Aires, Argentina

    Flavia Bonomo & Mariano Leonardo Rean

  3. Facultad de Ciencias Exactas, Departamento de Matemática, Univesidad Nacional de La Plata, La Plata, Argentina

    María Pía Mazzoleni

  4. CONICET, Buenos Aires, Argentina

    María Pía Mazzoleni

  5. University of Fribourg, Fribourg, Switzerland

    Bernard Ries

Authors
  1. Flavia Bonomo
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  2. María Pía Mazzoleni
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  3. Mariano Leonardo Rean
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  4. Bernard Ries
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Corresponding author

Correspondence to María Pía Mazzoleni .

Editor information

Editors and Affiliations

  1. Department of Industrial and Operations Engineering, University of Michigan, Ann Arbor, MI, USA

    Jon Lee

  2. Istituto di Analisi dei Sistemi ed Informatica “A. Ruberti” (IASI), CNR, Rome, Italy

    Giovanni Rinaldi

  3. LAMSADE, Université Paris-Dauphine, Paris, France

    A. Ridha Mahjoub

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Bonomo, F., Mazzoleni, M.P., Rean, M.L., Ries, B. (2018). Characterising Chordal Contact \(B_0\)-VPG Graphs. In: Lee, J., Rinaldi, G., Mahjoub, A. (eds) Combinatorial Optimization. ISCO 2018. Lecture Notes in Computer Science(), vol 10856. Springer, Cham. https://doi.org/10.1007/978-3-319-96151-4_8

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  • DOI: https://doi.org/10.1007/978-3-319-96151-4_8

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-96150-7

  • Online ISBN: 978-3-319-96151-4

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