How to Draw Outerplanar Minimum Weight Triangulations

Lenhart, William J. and Liotta, Giuseppe (1996) How to Draw Outerplanar Minimum Weight Triangulations. In: Symposium on Graph Drawing, GD 1995, September 20-22, 1995, Passau, Germany , pp. 373-384 (Official URL:

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In this paper we consider the problem of characterizing those graphs that can be drawn as minimum weight triangulations and answer the question for maximal outerplanar graphs. We provide a complete characterization of minimum weight triangulations of regular polygons by studying the combinatorial properties of their dual trees. We exploit this characterization to devise a linear time (real RAM) algorithm that receives as input a maximal outerplanar graph G and produces as output a straight-line drawing of G that is a minimum weight triangulation of the set of points representing the vertices of G.

Item Type:Conference Paper
Additional Information:10.1007/BFb0021821
Classifications:Z Theory > Z.999 Others
P Styles > P.720 Straight-line
G Algorithms and Complexity > G.999 Others
P Styles > P.540 Planar
ID Code:180

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