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» Collective Tree Spanners in Graphs with Bounded Parameters
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ESA
1994
Springer
138views Algorithms» more  ESA 1994»
15 years 1 months ago
Efficient Construction of a Bounded Degree Spanner with Low Weight
Let S be a set of n points in IRd and let t > 1 be a real number. A t-spanner for S is a graph having the points of S as its vertices such that for any pair p, q of points ther...
Sunil Arya, Michiel H. M. Smid
WADS
2007
Springer
82views Algorithms» more  WADS 2007»
15 years 3 months ago
On a Family of Strong Geometric Spanners That Admit Local Routing Strategies
We introduce a family of directed geometric graphs, denoted Gθ λ, that depend on two parameters λ and θ. For 0 ≤ θ < π 2 and 1 2 < λ < 1, the Gθ λ graph is a s...
Prosenjit Bose, Paz Carmi, Mathieu Couture, Michie...
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
STOC
2010
ACM
295views Algorithms» more  STOC 2010»
15 years 2 months ago
Approximation Schemes for Steiner Forest on Planar Graphs and Graphs of Bounded Treewidth
We give the first polynomial-time approximation scheme (PTAS) for the Steiner forest problem on planar graphs and, more generally, on graphs of bounded genus. As a first step, w...
MohammadHossein Bateni, MohammadTaghi Hajiaghayi a...
ICALP
2011
Springer
14 years 27 days ago
Improved Approximation for the Directed Spanner Problem
We present an O( √ n log n)-approximation algorithm for the problem of finding the sparsest spanner of a given directed graph G on n vertices. A spanner of a graph is a sparse ...
Piotr Berman, Arnab Bhattacharyya, Konstantin Maka...