Accelerated Bend Minimization

  • Sabine Cornelsen
  • Andreas Karrenbauer
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7034)

Abstract

We present an \(\mathcal O( n^{3/2})\) algorithm for minimizing the number of bends in an orthogonal drawing of a plane graph. It has been posed as a long standing open problem at Graph Drawing 2003, whether the bound of \(\mathcal O(n^{7/4}\sqrt{\log n})\) shown by Garg and Tamassia in 1996 could be improved. To answer this question, we show how to solve the uncapacitated min-cost flow problem on a planar bidirected graph with bounded costs and face sizes in \(\mathcal O(n^{3/2})\) time.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Sabine Cornelsen
    • 1
  • Andreas Karrenbauer
    • 1
  1. 1.Department of Computer & Information ScienceUniversity of KonstanzGermany

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