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The Power of Global Knowledge on Self-stabilizing Population Protocols

2020/03/17 by Yuichi Sudo, Sudo, Yuichi, Masahiro Shibata +7
Computer Science · #Age of Information Optimization #Distributed #Distributed systems and fault tolerance #FOS: Computer and information sciences #Optimization and Search Problems #Parallel #and Cluster Computing (cs.DC)

paper · pdf · doi:10.48550/arxiv.2003.07491

openalex publication_date 2020/03/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the population protocol model, many problems cannot be solved in a self-stabilizing way. However, global knowledge, such as the number of nodes in a network, sometimes allows us to design a self-stabilizing protocol for such problems. In this paper, we investigate the effect of global knowledge on the possibility of self-stabilizing population protocols in arbitrary graphs. Specifically, we clarify the solvability of the leader election problem, the ranking problem, the degree recognition problem, and the neighbor recognition problem by self-stabilizing population protocols with knowledge of the number of nodes and/or the number of edges in a network.

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