Increasing-Chord Graphs On Point Sets

Dehkordi, Hooman Reisi and Frati, Fabrizio and Gudmundsson, Joachim (2014) Increasing-Chord Graphs On Point Sets. In: Graph Drawing 22nd International Symposium, GD 2014, September 24-26, 2014, Würzburg, Germany , pp. 464-475 (Official URL:

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We tackle the problem of constructing increasing-chord graphs spanning point sets. We prove that, for every point set P with n points, there exists an increasing-chord planar graph with O(n) Steiner points spanning P. Further, we prove that, for every convex point set P with n points, there exists an increasing-chord graph with O(n logn) edges (and with no Steiner points) spanning P.

Item Type:Conference Paper
Additional Information:10.1007/978-3-662-45803-7_39
Classifications:G Algorithms and Complexity > G.560 Geometry
G Algorithms and Complexity > G.070 Area / Edge Length
P Styles > P.720 Straight-line
P Styles > P.999 Others
Z Theory > Z.250 Geometry
ID Code:1455

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