International Symposium on Graph Drawing

GD 1994: Graph Drawing pp 76-83

On drawing a graph convexly in the plane (extended abstract)

  • Hristo N. Djidjev
Conference paper

DOI: 10.1007/3-540-58950-3_358

Volume 894 of the book series Lecture Notes in Computer Science (LNCS)
Cite this paper as:
Djidjev H.N. (1995) On drawing a graph convexly in the plane (extended abstract). In: Tamassia R., Tollis I.G. (eds) Graph Drawing. GD 1994. Lecture Notes in Computer Science, vol 894. Springer, Berlin, Heidelberg

Abstract

Let G be a planar graph and H be a subgraph of G. Given any convex drawing of H, we investigate the problem of how to extend the drawing of H to a convex drawing of G. We obtain a necessary and sufficient condition for the existence and a linear algorithm for the construction of such an extension. Our results and their corollaries generalize previous theoretical and algorithmic results of Tutte, Thomassen, Chiba, Yamanouchi, and Nishizeki.

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Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • Hristo N. Djidjev
    • 1
  1. 1.Department of Computer ScienceRice UniversityHostonUSA