Some properties of higher order delaunay and gabriel graphs

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We consider two classes of higher order proximity graphs defined on a set of points in the plane, namely, the k-Delaunay graph and the k-Gabriel graph. We give bounds on the following combinatorial and geometric properties of these graphs: spanning ratio, diameter, chromatic number, and minimum number of layers necessary to partition the edges of the graphs so that no two edges of the same layer cross.

Prosenjit Bose, Sébastien Collette, Ferran

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CCCG 2010 | Computational Geometry | K-Delaunay Graph | K-Gabriel Graph | Order Proximity Graphs |

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Added	29 Oct 2010
Updated	29 Oct 2010
Type	Conference
Year	2010
Where	CCCG
Authors	Prosenjit Bose, Sébastien Collette, Ferran Hurtado, Matias Korman, Stefan Langerman, Vera Sacristan, Maria Saumell

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Some properties of higher order delaunay and gabriel graphs

CCCG 2010 | Computational Geometry | K-Delaunay Graph | K-Gabriel Graph | Order Proximity Graphs |

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