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» Constructing the Spanners of Graphs in Parallel
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ICALP
2010
Springer
14 years 8 days 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»
13 years 7 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»
14 years 1 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»
13 years 7 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»
13 years 7 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...