A linear algorithm for optimal orthogonal drawings of triconnected cubic plane graphs

  • Md. Saidur Rahman
  • Shin-ichi Nakano
  • Takao Nishizeki
Left and Right Turns
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1353)

Abstract

An orthogonal drawing of a plane graph G is a drawing of G in which each edge is drawn as a sequence of alternate horizontal and vertical line segments. In this paper we give a linear-time algorithm to find an orthogonal drawing of a given 3-connected cubic plane graph with the minimum number of bends. The best known algorithm takes time O(n7/4√log n) for any plane graph of n vertices.

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Copyright information

© Springer-Verlag 1997

Authors and Affiliations

  • Md. Saidur Rahman
    • 1
  • Shin-ichi Nakano
    • 1
  • Takao Nishizeki
    • 1
  1. 1.Graduate School of Information SciencesTohoku UniversitySendaiJapan

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