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» Construction of Minimum-Weight Spanners
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FOCS
1994
IEEE
15 years 28 days ago
Randomized and deterministic algorithms for geometric spanners of small diameter
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 directed graph having the points of S as its vertices, such that for any pair p and q o...
Sunil Arya, David M. Mount, Michiel H. M. Smid
WADS
2007
Springer
180views Algorithms» more  WADS 2007»
15 years 3 months 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
SIROCCO
2010
14 years 11 months ago
Multipath Spanners
Abstract. This paper concerns graph spanners that approximate multipaths between pair of vertices of an undirected graphs with n vertices. Classically, a spanner H of stretch s for...
Cyril Gavoille, Quentin Godfroy, Laurent Viennot
DC
2010
14 years 9 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
ICALP
2010
Springer
15 years 2 months ago
Additive Spanners in Nearly Quadratic Time
We consider the problem of efficiently finding an additive C-spanner of an undirected unweighted graph G, that is, a subgraph H so that for all pairs of vertices u, v, δH (u, v) ...
David P. Woodruff