How to draw a planar clustered graph

  • Qing -Wen Feng
  • Robert F. Cohen
  • Peter Eades
Session 1B: Graph Drawing
Part of the Lecture Notes in Computer Science book series (LNCS, volume 959)


In this paper, we introduce and show how to draw a practical graph structure known as clustered graphs. We present an algorithm which produces planar, straight-line, convex drawings of clustered graphs in O(n2.5) time. We also demonstrate an area lower bound and an angle upper bound for straight-line convex drawings of C-planar graphs. We show that such drawings require Ω(2n) area and the smallest angle is O(1/n). Our bounds are unlike the area and angle bounds of classical graph drawing conventions in which area bound is Ω(n2) and angle bounds are functions of the maximum degree of the graph. Our results indicate important tradeoff between line straightness and area, and between region convexity and area.


Planar Graph Outer Face Classical Graph Cluster Graph Planar Drawing 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Qing -Wen Feng
    • 1
  • Robert F. Cohen
    • 1
  • Peter Eades
    • 1
  1. 1.Department of Computer ScienceUniversity of NewcastleCallaghanAustralia

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