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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
TALG
2008
69views more  TALG 2008»
13 years 7 months ago
Testing Euclidean minimum spanning trees in the plane
Given a Euclidean graph G over a set P of n points in the plane, we are interested in verifying whether G is a Euclidean minimum spanning tree (EMST) of P or G differs from it in ...
Artur Czumaj, Christian Sohler
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...
STACS
2001
Springer
13 years 11 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