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» Constructing vertex-disjoint paths in (n, k)-star graphs
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DIALM
2003
ACM
175views Algorithms» more  DIALM 2003»
15 years 2 months ago
Localized construction of bounded degree and planar spanner for wireless ad hoc networks
We propose a novel localized algorithm that constructs a bounded degree and planar spanner for wireless ad hoc networks modeled by unit disk graph (UDG). Every node only has to kn...
Yu Wang 0003, Xiang-Yang Li
SIAMCOMP
2000
125views more  SIAMCOMP 2000»
14 years 9 months ago
Approximating the Stretch Factor of Euclidean Graphs
There are several results available in the literature dealing with efficient construction of t-spanners for a given set S of n points in Rd. t-spanners are Euclidean graphs in whic...
Giri Narasimhan, Michiel H. M. Smid
SODA
2010
ACM
201views Algorithms» more  SODA 2010»
15 years 7 months ago
Efficient Broadcast on Random Geometric Graphs
A Random Geometric Graph (RGG) in two dimensions is constructed by distributing n nodes independently and uniformly at random in [0, n ]2 and creating edges between every pair of...
Milan Bradonji, Robert Elsässer, Tobias Friedrich...
COMPGEOM
2005
ACM
14 years 11 months ago
The Visibility-Voronoi Complex and Its Applications
We introduce a new type of diagram called the VV(c)-diagram (the visibility–Voronoi diagram for clearance c), which is a hybrid between the visibility graph and the Voronoi diag...
Ron Wein, Jur P. van den Berg, Dan Halperin
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