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» On the Stretch Factor of Convex Delaunay Graphs
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74
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CORR
2008
Springer
129views Education» more  CORR 2008»
14 years 9 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
14 years 10 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
65
Voted
COMGEO
2011
ACM
14 years 4 months ago
On the stretch factor of Delaunay triangulations of points in convex position
Shiliang Cui, Iyad A. Kanj, Ge Xia
94
Voted
CORR
2008
Springer
133views Education» more  CORR 2008»
14 years 9 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»
15 years 4 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. ...