Time and Space Optimal Exact Majority Population Protocols

Autor:	Gąsieniec, Leszek, Stachowiak, Grzegorz, Uznański, Przemysław
Rok vydání:	2020
Předmět:	Computer Science - Distributed Parallel and Cluster Computing Computer Science - Data Structures and Algorithms
Druh dokumentu:	Working Paper
Popis:	In this paper we study population protocols governed by the {\em random scheduler}, which uniformly at random selects pairwise interactions between $n$ agents. The main result of this paper is the first time and space optimal {\em exact majority population protocol} which also works with high probability. The new protocol operates in the optimal {\em parallel time} $O(\log n),$ which is equivalent to $O(n\log n)$ sequential {\em pairwise interactions}, where each agent utilises the optimal number of $O(\log n)$ states. The time optimality of the new majority protocol is possible thanks to the novel concept of fixed-resolution phase clocks introduced and analysed in this paper. The new phase clock allows to count approximately constant parallel time in population protocols. Comment: We combined this paper with arXiv:2012.15800 and have a new updated version at arXiv:2106.10201
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2011.07392 Zobrazit plný text záznamu View this record from Arxiv