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» On Geometric Spanners of Euclidean and Unit Disk Graphs
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ICDCS
2002
IEEE
13 years 9 months ago
Geometric Spanners for Wireless Ad Hoc Networks
Abstract—We propose a new geometric spanner for wireless ad hoc networks, which can be constructed efficiently in a distributed manner. It integrates the connected dominating se...
Yu Wang 0003, Xiang-Yang Li
WADS
2007
Springer
82views Algorithms» more  WADS 2007»
13 years 11 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...
WG
2004
Springer
13 years 10 months ago
A Robust PTAS for Maximum Weight Independent Sets in Unit Disk Graphs
A unit disk graph is the intersection graph of unit disks in the euclidean plane. We present a polynomial-time approximation scheme for the maximum weight independent set problem i...
Tim Nieberg, Johann Hurink, Walter Kern
ADHOCNOW
2008
Springer
13 years 11 months ago
Localized Spanner Construction for Ad Hoc Networks with Variable Transmission Range
Abstract. This paper presents an algorithm for constructing a spanner for ad hoc networks whose nodes have variable transmission range. Almost all previous spanner constructions fo...
David Peleg, Liam Roditty
ESA
2010
Springer
203views Algorithms» more  ESA 2010»
13 years 6 months ago
Testing Euclidean Spanners
In this paper we develop a property testing algorithm for the problem of testing whether a directed geometric graph with bounded (out)degree is a (1 + )-spanner.
Frank Hellweg, Melanie Schmidt, Christian Sohler