A Self-stabilizing Algorithm for Maximal p-Star Decomposition of General Graphs
نویسندگان
چکیده
A p-star is a complete bipartite graph K1,p with one center node and p leaf nodes. In this paper we propose the first distributed self-stabilizing algorithm for graph decomposition into p-stars. For a graph G and an integer p ≥ 1, this decomposition provides disjoint components of G where each component forms a p-star. We prove convergence and correctness of the algorithm under an unfair distributed daemon. The stabilization time is 2⌊ n p+1 ⌋ + 2 rounds.
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