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» Constructing the Spanners of Graphs in Parallel
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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
SIAMCOMP
1998
124views more  SIAMCOMP 1998»
14 years 9 months ago
Near-Linear Time Construction of Sparse Neighborhood Covers
This paper introduces a near-linear time sequential algorithm for constructing a sparse neighborhood cover. This implies analogous improvements (from quadratic to near-linear time)...
Baruch Awerbuch, Bonnie Berger, Lenore Cowen, Davi...
WDAG
2007
Springer
86views Algorithms» more  WDAG 2007»
15 years 4 months ago
Deterministic Distributed Construction of Linear Stretch Spanners in Polylogarithmic Time
The paper presents a deterministic distributed algorithm that given an n node unweighted graph constructs an O(n3/2 ) edge 3-spanner for it in O(log n) time. This algorithm is the...
Bilel Derbel, Cyril Gavoille, David Peleg
CORR
2008
Springer
90views Education» more  CORR 2008»
14 years 10 months ago
Communication-Efficient Construction of the Plane Localized Delaunay Graph
Let V be a finite set of points in the plane. We present a 2-local algorithm that constructs a plane 4 3 9 -spanner of the unit-disk graph UDG(V ). This algorithm makes only one ...
Prosenjit Bose, Paz Carmi, Michiel H. M. Smid, Dam...
SIAMCOMP
2002
113views more  SIAMCOMP 2002»
14 years 9 months ago
Fast Greedy Algorithms for Constructing Sparse Geometric Spanners
Given a set V of n points in Rd and a real constant t > 1, we present the first O(n log n)-time algorithm to compute a geometric t-spanner on V . A geometric t-spanner on V is a...
Joachim Gudmundsson, Christos Levcopoulos, Giri Na...