Title
Fault-Tolerant Spanners in Networks with Symmetric Directional Antennas.
Abstract
Let P be a set of points in the plane, each equipped with a directional antenna that covers a sector of angle α and range r. In the symmetric model of communication, two antennas u and v can communicate to each other, if and only if v lies in u's coverage area and vice versa. In this paper, we introduce the concept of fault-tolerant spanners for directional antennas, which enables us to construct communication networks that retain their connectivity and spanning ratio even if a subset of antennas are removed from the network. We show how to orient the antennas with angle α and range r to obtain a k-fault-tolerant spanner for any positive integer k. For α≥π, we show that the range 13 for the antennas is sufficient to obtain a k-fault-tolerant 3-spanner. For π/2<α<π, we show that using range 6δ+19 for δ=⌈4/|cos⁡α|⌉, one can direct antennas so that the induced communication graph is a k-fault-tolerant 7-spanner.
Year
DOI
Venue
2017
10.1016/j.tcs.2017.09.005
Theoretical Computer Science
Keywords
DocType
Volume
Wireless network,Directional antenna,Fault-tolerance,Geometric spanner
Journal
704
ISSN
Citations 
PageRank 
0304-3975
1
0.35
References 
Authors
10
4
Name
Order
Citations
PageRank
Mohammad Ali Abam17814.65
Fatemeh Baharifard210.35
Mohammad Sadegh Borouny310.69
Hamid Zarrabi-Zadeh411113.63