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» Approximating the Stretch Factor of Euclidean Graphs
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SIAMCOMP
2000
125views more  SIAMCOMP 2000»
13 years 7 months ago
Approximating the Stretch Factor of Euclidean Graphs
There are several results available in the literature dealing with efficient construction of t-spanners for a given set S of n points in Rd. t-spanners are Euclidean graphs in whic...
Giri Narasimhan, Michiel H. M. Smid
STACS
2001
Springer
13 years 12 months ago
Approximation Algorithms for the Bottleneck Stretch Factor Problem
The stretch factor of a Euclidean graph is the maximum ratio of the distance in the graph between any two points and their Euclidean distance. Given a set S of n points in Rd, we ...
Giri Narasimhan, Michiel H. M. Smid
COMPGEOM
2005
ACM
13 years 9 months ago
Finding the best shortcut in a geometric network
Given a Euclidean graph G in Rd with n vertices and m edges we consider the problem of adding a shortcut such that the stretch factor of the resulting graph is minimized. Currentl...
Mohammad Farshi, Panos Giannopoulos, Joachim Gudmu...
CORR
2008
Springer
133views Education» more  CORR 2008»
13 years 7 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
CORR
2008
Springer
129views Education» more  CORR 2008»
13 years 7 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...