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SIAMCOMP
2002
113views more  SIAMCOMP 2002»
13 years 8 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...
STOC
2009
ACM
168views Algorithms» more  STOC 2009»
14 years 9 months ago
Fault-tolerant spanners for general graphs
The paper concerns graph spanners that are resistant to vertex or edge failures. Given a weighted undirected n-vertex graph G = (V, E) and an integer k 1, the subgraph H = (V, E ...
Shiri Chechik, Michael Langberg, David Peleg, Liam...
DCOSS
2009
Springer
14 years 1 months ago
Local Construction of Spanners in the 3-D Space
Abstract. In this paper we present local distributed algorithms for constructing spanners in wireless sensor networks modeled as unit ball graphs (shortly UBGs) and quasi-unit ball...
Iyad A. Kanj, Ge Xia, Fenghui Zhang
SIAMCOMP
2000
125views more  SIAMCOMP 2000»
13 years 8 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
CCCG
2009
13 years 9 months ago
Approximating Maximum Flow in Polygonal Domains using Spanners
We study a maximum flow problem in a polygonal domain P: Determine the maximum number of disjoint "thick" paths (of specified width w) through P from a source edge to a ...
Joondong Kim, Joseph S. B. Mitchell, Jingyu Zou