Title | ||
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An asynchronous self-stabilizing approximation for the minimum CDS with safe convergence in UDGs |
Abstract | ||
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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 |
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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 Kamei | 1 | 186 | 21.28 |
Tomoko Izumi | 2 | 141 | 21.33 |
Yukiko Yamauchi | 3 | 196 | 23.91 |