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» Testing Euclidean Spanners
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SPAA
2005
ACM
15 years 5 months ago
Constant density spanners for wireless ad-hoc networks
An important problem for wireless ad hoc networks has been to design overlay networks that allow time- and energy-efficient routing. Many local-control strategies for maintaining...
Kishore Kothapalli, Christian Scheideler, Melih On...
ESA
2009
Springer
144views Algorithms» more  ESA 2009»
15 years 6 months ago
Narrow-Shallow-Low-Light Trees with and without Steiner Points
We show that for every set S of n points in the plane and a designated point rt ∈ S, there exists a tree T that has small maximum degree, depth and weight. Moreover, for every po...
Michael Elkin, Shay Solomon
TALG
2008
69views more  TALG 2008»
14 years 11 months ago
Testing Euclidean minimum spanning trees in the plane
Given a Euclidean graph G over a set P of n points in the plane, we are interested in verifying whether G is a Euclidean minimum spanning tree (EMST) of P or G differs from it in ...
Artur Czumaj, Christian Sohler
PROPERTYTESTING
2010
14 years 9 months ago
Transitive-Closure Spanners: A Survey
We survey results on transitive-closure spanners and their applications. Given a directed graph G = (V, E) and an integer k 1, a k-transitive-closure-spanner (k-TC-spanner) of G ...
Sofya Raskhodnikova
IPL
2007
81views more  IPL 2007»
14 years 11 months ago
Lower bounds for testing Euclidean Minimum Spanning Trees
Oren Ben-Zwi, Oded Lachish, Ilan Newman