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arXiv · 2006.01311

Self-stabilizing Algorithm for Minimal $\alpha$-Dominating Set

Badreddine Benreguia·Hamouma Moumen
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Abstract

A self-stabilizing algorithm for the minimal $\alpha$-dominating set is proposed in this paper. The $\alpha$-domination parameter has not used before in self-stabilization paradigm. Using an arbitrary graph with $n$ nodes and $m$ edges, the proposed algorithm converges in $O(nm)$ moves under distributed daemon. Simulation tests and mathematical proofs show the efficiency of the algorithm.

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Badreddine Benreguia, Hamouma Moumen. 2020-06-01. Self-stabilizing Algorithm for Minimal $\alpha$-Dominating Set. https://arxiv.org/abs/2006.01311

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