Connected Rectilinear Graphs on Point Sets

  • Maarten Löffler
  • Elena Mumford
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5417)


Given n points in d-dimensional space, we would like to connect the points with straight line segments to form a connected graph whose edges use d pairwise perpendicular directions. We prove that there exists at most one such set of directions. For d = 2 we present an algorithm for computing these directions (if they exist) in O (n 2) time.


Planar Graph Connected Graph Straight Line Segment Great Common Divisor Vertical Segment 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Maarten Löffler
    • 1
  • Elena Mumford
    • 2
  1. 1.Dept. Information and Computing SciencesUtrecht UniversityThe Netherlands
  2. 2.Dept. of Mathematics and Computer ScienceTU EindhovenThe Netherlands

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