Title
An asynchronous self-stabilizing approximation for the minimum CDS with safe convergence in UDGs
Abstract
A connected dominating set (CDS) is useful in forming a virtual backbone in wireless ad hoc or sensor networks because these networks lack a fixed infrastructure and centralized management. Self-stabilization guarantees that the system tolerates any finite number of transient faults and does not need any initialization. The safe convergence property guarantees that the system quickly converges to a feasible safe configuration, and subsequently converges to a legitimate configuration without violating safety. A previous publication on a safely converging algorithm for the minimum CDS assumed a phase clock synchronizer, which is a very strong assumption. In this paper, we propose the first asynchronous self-stabilizing ( 6 + ¿ ) -approximation algorithm with safe convergence for the minimum CDS in networks modeled by unit disk graphs (UDGs). We assume that the feasible safe configuration satisfies the condition that a dominating set is constructed. The convergence time to a feasible safe configuration is one round, and the convergence time to a legitimate configuration in which an approximated minimum CDS is constructed is O ( max ¿ { d 2 , n } ) rounds, and O ( n 6 ) steps.
Year
DOI
Venue
2016
10.1016/j.tcs.2015.12.001
Theoretical Computer Science
Keywords
Field
DocType
unit disk graph,self stabilization
Convergence (routing),Approximation algorithm,Mathematical optimization,Combinatorics,Dominating set,Synchronizer,Self-stabilization,Connected dominating set,Wireless ad hoc network,Mathematics,Unit disk graph
Journal
Volume
Issue
ISSN
615
C
0304-3975
Citations 
PageRank 
References 
1
0.39
28
Authors
3
Name
Order
Citations
PageRank
Sayaka Kamei118621.28
Tomoko Izumi214121.33
Yukiko Yamauchi319623.91