Grid embedding of 4-connected plane graphs

Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1027)

Abstract

A straight line grid embedding of a plane graph G is a drawing of G such that the vertices are drawn at grid points and the edges are drawn as non-intersecting straight line segments. In this paper, we show that, if a 4-connected plane graph G has at least 4 vertices on its exterior face, then G can be embedded on a grid of size W×H such that W+H≤n, W≤(n+3)/2 and H≤2(n−1)/3, where n is the number of vertices of G. Such an embedding can be computed in linear time.

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Copyright information

© Springer-Verlag 1996

Authors and Affiliations

  • Xin He
    • 1
  1. 1.Department of Computer ScienceState University of New York at BuffaloBuffalo

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