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Memory Efficient Self-stabilizing Distance-k Independent Dominating Set Construction

  • Colette JohnenEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9466)

Abstract

We propose a memory efficient self-stabilizing protocol building distance-k independent dominating sets. A distance-k independent dominating set is a distance-k independent set and a distance-k dominating set(The protocol \(\mathcal {SID}\) was presented in a brief announcement at SSS’13.).

Our algorithm, named \(\mathcal {SID}\), is silent; it converges under the unfair distributed scheduler (the weakest scheduling assumption).

The protocol \(\mathcal {SID}\) is memory efficient : it requires only \(log(2((n+1)(k+1))^2)\) bits per node.

The correctness and the termination of the protocol \(\mathcal {SID}\) is proven.

The computation of the convergence time of the protocol \(\mathcal {SID}\) is an opened question.

Keywords

Distributed algorithm Fault tolerance Self-stabilization Distance-k dominating set Distance-k independent set Distance-k independent dominating set Memory efficient 

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.University Bordeaux, LaBRI, UMR 5800TalenceFrance

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