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Every Graph Admits an Unambiguous Bold Drawing

  • János Pach
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7034)

Abstract

Let r and w be a fixed positive numbers, w < r. In a bold drawing of a graph, every vertex is represented by a disk of radius r, and every edge by a narrow rectangle of width w. We solve a problem of van Kreveld [K09] by showing that every graph admits a bold drawing in which the region occupied by the union of the disks and rectangles representing the vertices and edges does not contain any disk of radius r other than the ones representing the vertices.

Keywords

Maximum Radius Convex Curve Planar Partition Graph Drawing Tional Geometry 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • János Pach
    • 1
  1. 1.EPFL, Lausanne and Rényi InstituteBudapestHungary

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