Maximum Weight Triangulation and Its Application on Graph Drawing

  • Cao An Wang
  • Francis Y. Chin
  • Bo Ting Yang
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1449)


In this paper, we investigate the maximum weight triangulation of a polygon inscribed in a circle (simply inscribed polygon). A complete characterization of maximum weight triangulation of such polygons has been obtained. As a consequence of this characterization, an O(n 2) algorithm for finding the maximum weight triangulation of an inscribed n-gon is designed. In case of a regular polygon, the complexity of this algorithm can be reduced to O(n). We also show that a tree admits a maximum weight drawing if its internal node connects at most 2 non-leaf nodes. The drawing can be done in O(n) time. Furthermore, we prove a property of maximum planar graphs which do not admit a maximum weight drawing on any set of convex points.


Span Tree Maximum Weight Minimum Weight Boundary Edge Regular Polygon 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Cao An Wang
    • 1
  • Francis Y. Chin
    • 2
  • Bo Ting Yang
    • 2
  1. 1.Department of Computer ScienceMemorial University of NewfoundlandSt. John’sCanada
  2. 2.Department of Computer ScienceUniversity of Hong KongHong Kong

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