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» On the Stretch Factor of Convex Delaunay Graphs
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CORR
2008
Springer
129views Education» more  CORR 2008»
13 years 4 months ago
On the Stretch Factor of Convex Delaunay Graphs
Let C be a compact and convex set in the plane that contains the origin in its interior, and let S be a finite set of points in the plane. The Delaunay graph DGC (S) of S is define...
Prosenjit Bose, Paz Carmi, Sébastien Collet...
CCCG
2009
13 years 6 months ago
On the Dilation of Delaunay Triangulations of Points in Convex Position
Let S be a finite set of points in the Euclidean plane, and let E be the complete graph whose point-set is S. Chew, in 1986, proved a lower bound of /2 on the stretch factor of th...
Shiliang Cui, Iyad A. Kanj, Ge Xia
CORR
2008
Springer
133views Education» more  CORR 2008»
13 years 4 months ago
On Geometric Spanners of Euclidean and Unit Disk Graphs
We consider the problem of constructing bounded-degree planar geometric spanners of Euclidean and unit-disk graphs. It is well known that the Delaunay subgraph is a planar geometri...
Iyad A. Kanj, Ljubomir Perkovic
SMA
2009
ACM
134views Solid Modeling» more  SMA 2009»
13 years 11 months ago
Exact Delaunay graph of smooth convex pseudo-circles: general predicates, and implementation for ellipses
We examine the problem of computing exactly the Delaunay graph (and the dual Voronoi diagram) of a set of, possibly intersecting, smooth convex pseudo-circles in the Euclidean pla...
Ioannis Z. Emiris, Elias P. Tsigaridas, George M. ...