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ISVD
2007
IEEE
14 years 1 months ago
Two-dimensional line space Voronoi Diagram
Given a set of points called sites, the Voronoi diagram is a partition of the plane into sets of points having the same closest site. Several generalizations of the Voronoi diagra...
Stéphane Rivière, Dominique Schmitt
CORR
2010
Springer
164views Education» more  CORR 2010»
13 years 7 months ago
Schnyder decompositions for regular plane graphs and application to drawing
Schnyder woods are decompositions of simple triangulations into three edge-disjoint spanning trees crossing each other in a specific way. In this article, we define a generalizatio...
Olivier Bernardi, Éric Fusy
IJCGA
2008
77views more  IJCGA 2008»
13 years 7 months ago
Bounded-Velocity Approximation of Mobile Euclidean 2-Centres
Given a set P of points (clients) in the plane, a Euclidean 2-centre of P is a set of two points (facilities) in the plane such that the maximum distance from any client to its ne...
Stephane Durocher, David G. Kirkpatrick
CCCG
2010
13 years 8 months ago
Some properties of higher order delaunay and gabriel graphs
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 follo...
Prosenjit Bose, Sébastien Collette, Ferran ...
EJC
2008
13 years 7 months ago
A simple proof for open cups and caps
Let X be a set of points in general position in the plane. General position means that no three points lie on a line and no two points have the same x-coordinate. Y X is a cup, r...
Jakub Cerný