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arXiv · 1812.11309

Logarithmic Expected-Time Leader Election in Population Protocol Model

Yuichi Sudo·Fukuhito Ooshita·Taisuke Izumi·Hirotsugu Kakugawa·Toshimitsu Masuzawa
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Abstract

In this paper, the leader election problem in the population protocol model is considered. A leader election protocol with logarithmic stabilization time is given. Given a rough knowledge m of the population size n such that m >= \log_2 n and m=O(log n), the proposed protocol guarantees that exactly one leader is elected from n agents within O(log n) parallel time in expectation and the unique leader is kept forever thereafter. The number of states per agent of the protocol is O(log n).

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Yuichi Sudo, Fukuhito Ooshita, Taisuke Izumi, Hirotsugu Kakugawa, Toshimitsu Masuzawa. 2018-12-29. Logarithmic Expected-Time Leader Election in Population Protocol Model. https://arxiv.org/abs/1812.11309

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