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Self-stabilizing Algorithm for Minimal $α$-Dominating Set (2006.01311v1)
Published 1 Jun 2020 in cs.DC
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.