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1-String B_2-VPG Representation of Planar Graphs

Authors Therese Biedl, Martin Derka

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Therese Biedl
Martin Derka

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Therese Biedl and Martin Derka. 1-String B_2-VPG Representation of Planar Graphs. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 141-155, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
https://doi.org/10.4230/LIPIcs.SOCG.2015.141

Abstract

In this paper, we prove that every planar graph has a 1-string B_2-VPG representation - a string representation using paths in a rectangular grid that contain at most two bends. Furthermore, two paths representing vertices u, v intersect precisely once whenever there is an edge between u and v.
Keywords
  • Graph drawing
  • string graphs
  • VPG graphs
  • planar graphs

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