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arXiv · 2003.07491

The Power of Global Knowledge on Self-stabilizing Population Protocols

Yuichi Sudo·Masahiro Shibata·Junya Nakamura·Yonghwan Kim·Toshimitsu Masuzawa
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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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Yuichi Sudo, Masahiro Shibata, Junya Nakamura, Yonghwan Kim, Toshimitsu Masuzawa. 2020-03-17. The Power of Global Knowledge on Self-stabilizing Population Protocols. https://arxiv.org/abs/2003.07491

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