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» On Geometric Spanners of Euclidean and Unit Disk Graphs
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PODC
2006
ACM
14 years 1 months ago
Local approximation schemes for topology control
This paper presents a distributed algorithm for wireless adhoc networks that runs in polylogarithmic number of rounds in the size of the network and constructs a lightweight, line...
Mirela Damian, Saurav Pandit, Sriram V. Pemmaraju
DCOSS
2009
Springer
14 years 5 days ago
Distributed Generation of a Family of Connected Dominating Sets in Wireless Sensor Networks
We study the problem of computing a family of connected dominating sets in wireless sensor networks (WSN) in a distributed manner. A WSN is modelled as a unit disk graph G = (V, E)...
Kamrul Islam, Selim G. Akl, Henk Meijer
COMPGEOM
2004
ACM
14 years 29 days ago
On locally Delaunay geometric graphs
A geometric graph is a simple graph G = (V, E) with an embedding of the set V in the plane such that the points that represent V are in general position. A geometric graph is said...
Rom Pinchasi, Shakhar Smorodinsky
CCCG
2010
13 years 5 months ago
Determining the robustness of sensor barriers
Various notions of coverage provided by wireless sensor networks have attracted considerable attention over the past few years. In general, coverage can be expressed geometrically...
David G. Kirkpatrick
FOCS
2007
IEEE
14 years 1 months ago
On the Optimality of Planar and Geometric Approximation Schemes
We show for several planar and geometric problems that the best known approximation schemes are essentially optimal with respect to the dependence on ǫ. For example, we show that...
Dániel Marx