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 , pp. 464-475(Official URL: http://dx.doi.org/10.1007/978-3-662-45803-7_39).

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Abstract

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
URI:	http://gdea.informatik.uni-koeln.de/id/eprint/1455

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