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Outerplanar Crossing Numbers of 3-Row Meshes, Halin Graphs and Complete p-Partite Graphs

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SOFSEM 2005: Theory and Practice of Computer Science (SOFSEM 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3381))

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Abstract

An outerplanar (also called circular, convex, one-page) drawing of an n-vertex graph G is a drawing in which the vertices are placed on a circle and each edge is drawn using one straight-line segment. We derive exact results for the minimal number of crossings in any outerplanar drawings of the following classes of graphs: 3-row meshes, Halin graphs and complete p–partite graphs with equal size partite sets.

This research was supported by the EPSRC grant GR/S76694/01 and by VEGA grant No. 2/3164/23.

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Authors and Affiliations

  1. Department of Computer Science, Comenius University, Mlynská dolina, 842 48, Bratislava, Slovak Republic

    Radoslav Fulek

  2. Department of Computer Science, Loughborough University, Loughborough, Leicestershire, LE11 3TU, United Kingdom

    Hongmei He & Ondrej Sýkora

  3. Department of Informatics, Institute of Mathematics, Slovak Academy of Sciences, Dúbravská 9, 841 04, Bratislava, Slovak Republic

    Imrich Vrťo

Authors
  1. Radoslav Fulek
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  2. Hongmei He
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  3. Ondrej Sýkora
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  4. Imrich Vrťo
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Editor information

Editors and Affiliations

  1. Charles University, Prague, Czech Republic

    Peter Vojtáš

  2. Institute of Informatics and Software Engineering Faculty of Informatics and Information technologies, Slovak University of Technology, Ilkovičova 3, 842 16, Bratislava,  

    Mária Bieliková

  3. STIX, École Polytechnique, 91128, Palaiseau Cedex, France

    Bernadette Charron-Bost

  4. Department of Computer Science, University of Loughborough, Loughborough, UK

    Ondrej Sýkora

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© 2005 Springer-Verlag Berlin Heidelberg

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Fulek, R., He, H., Sýkora, O., Vrťo, I. (2005). Outerplanar Crossing Numbers of 3-Row Meshes, Halin Graphs and Complete p-Partite Graphs. In: Vojtáš, P., Bieliková, M., Charron-Bost, B., Sýkora, O. (eds) SOFSEM 2005: Theory and Practice of Computer Science. SOFSEM 2005. Lecture Notes in Computer Science, vol 3381. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30577-4_43

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  • DOI: https://doi.org/10.1007/978-3-540-30577-4_43

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-24302-1

  • Online ISBN: 978-3-540-30577-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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