Title
Strong connectivity in sensor networks with given number of directional antennae of bounded angle
Abstract
Given a set S of n sensors in the plane we consider the problem of establishing an ad hoc network from these sensors using directional antennae. We prove that for each given integer 1 ≤ k ≤ 5 there is a strongly connected spanner on the set of points so that each sensor uses at most k such directional antennae whose range differs from the optimal range by a multiplicative factor of at most 2 ċ sin(π/k+1). Moreover, given a minimum spanning tree on the set of points the spanner can be constructed in additional O(n) time. In addition, we prove NP completeness results for k = 2 antennae.
Year
DOI
Venue
2012
10.1007/978-3-642-17461-2_6
Discrete Mathematics, Algorithms and Applications
Keywords
DocType
Volume
optimal range,additional o,multiplicative factor,n sensor,directional antenna,sensor network,strong connectivity,bounded angle,np completeness result,minimum spanning tree,antenna,sensors,spanner,ad hoc network,strongly connected
Journal
4
Issue
ISSN
ISBN
3
1793-8309
3-642-17460-4
Citations 
PageRank 
References 
13
0.85
13
Authors
6
Name
Order
Citations
PageRank
Stefan Dobrev152841.68
Evangelos Kranakis23107354.48
Danny Krizanc31778191.04
Jaroslav Opatrny448144.39
Oscar Morales Ponce5529.46
Ladislav Stacho625935.64