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» Testing Euclidean Spanners
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FOCS
2008
IEEE
14 years 21 days ago
Shallow-Low-Light Trees, and Tight Lower Bounds for Euclidean Spanners
We show that for every n-point metric space M and positive integer k, there exists a spanning tree T with unweighted diameter O(k) and weight w(T) = O(k · n1/k ) · w(MST(M)), an...
Yefim Dinitz, Michael Elkin, Shay Solomon
DCG
2010
84views more  DCG 2010»
13 years 6 months ago
Low-Light Trees, and Tight Lower Bounds for Euclidean Spanners
Yefim Dinitz, Michael Elkin, Shay Solomon
WADS
2007
Springer
165views Algorithms» more  WADS 2007»
14 years 10 days ago
A Near Linear Time Approximation Scheme for Steiner Tree Among Obstacles in the Plane
We present a polynomial-time approximation scheme (PTAS) for the Steiner tree problem with polygonal obstacles in the plane with running time O(n log2 n), where n denotes the numb...
Matthias Müller-Hannemann, Siamak Tazari
COMPGEOM
2004
ACM
13 years 11 months ago
Deformable spanners and applications
For a set S of points in Rd, an s-spanner is a graph on S such that any pair of points is connected via some path in the spanner whose total length is at most s times the Euclidea...
Jie Gao, Leonidas J. Guibas, An Nguyen
WADS
2007
Springer
180views Algorithms» more  WADS 2007»
14 years 10 days ago
Spanners for Geometric Intersection Graphs
A ball graph is an intersection graph of a set of balls with arbitrary radii. Given a real number t > 1, we say that a subgraph G′ of a graph G is a t-spanner of G, if for eve...
Martin Fürer, Shiva Prasad Kasiviswanathan