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ESA
1994
Springer
138views Algorithms» more  ESA 1994»
13 years 8 months ago
Efficient Construction of a Bounded Degree Spanner with Low Weight
Let S be a set of n points in IRd and let t > 1 be a real number. A t-spanner for S is a graph having the points of S as its vertices such that for any pair p, q of points ther...
Sunil Arya, Michiel H. M. Smid
ALGORITHMICA
2002
101views more  ALGORITHMICA 2002»
13 years 4 months ago
Improved Algorithms for Constructing Fault-Tolerant Spanners
Let S be a set of n points in a metric space, and k a positive integer. Algorithms are given that construct k-fault-tolerant spanners for S. If in such a spanner at most k vertice...
Christos Levcopoulos, Giri Narasimhan, Michiel H. ...
ESA
2009
Springer
144views Algorithms» more  ESA 2009»
13 years 11 months ago
Narrow-Shallow-Low-Light Trees with and without Steiner Points
We show that for every set S of n points in the plane and a designated point rt ∈ S, there exists a tree T that has small maximum degree, depth and weight. Moreover, for every po...
Michael Elkin, Shay Solomon
FOCS
2006
IEEE
13 years 10 months ago
Lower Bounds for Additive Spanners, Emulators, and More
An additive spanner of an unweighted undirected graph G with distortion d is a subgraph H such that for any two vertices u, v ∈ G, we have δH(u, v) ≤ δG(u, v) + d. For every...
David P. Woodruff
DC
2010
13 years 4 months ago
Distributed algorithms for ultrasparse spanners and linear size skeletons
We present efficient algorithms for computing very sparse low distortion spanners in distributed networks and prove some non-trivial lower bounds on the tradeoff between time, spar...
Seth Pettie