Rectangular Drawings of Planar Graphs

(Extended Abstract)
  • Md. Saidur Rahman
  • Takao Nishizeki
  • Shubhashis Ghosh
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2528)

Abstract

A plane graph is a planar graph with a fixed embedding. In a rectangular drawing of a plane graph, each vertex is drawn as a point, each edge is drawn as a horizontal or vertical line segment, and each face is drawn as a rectangle. A planar graph is said to have a rectangular drawing if at least one of its plane embeddings has a rectangular drawing. In this paper we give a linear-time algorithm to examine whether a planar graph G of the maximum degree three has a rectangular drawing or not, and to find a rectangular drawing of G if it exists.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Md. Saidur Rahman
    • 1
  • Takao Nishizeki
    • 2
  • Shubhashis Ghosh
    • 3
  1. 1.Graduate School of Information SciencesTohoku UniversitySendaiJapan
  2. 2.Graduate School of Information SciencesTohoku UniversitySendaiJapan
  3. 3.Department of Computing ScienceUniversity of AlbertaEdmontonCanada

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