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Uniform Bipartition in the Population Protocol Model with Arbitrary Communication Graphs

Authors Hiroto Yasumi, Fukuhito Ooshita, Michiko Inoue, Sébastien Tixeuil

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Author Details

Hiroto Yasumi
  • Nara Institute of Science and Technology, Japan
Fukuhito Ooshita
  • Nara Institute of Science and Technology, Japan
Michiko Inoue
  • Nara Institute of Science and Technology, Japan
Sébastien Tixeuil
  • Sorbonne Université, CNRS, LIP6, Paris, France

Funding

This work was supported by JSPS KAKENHI Grant Numbers 18K11167, 20H04140, 20J21849, and JST SICORP Grant Number JPMJSC1806. This work was partially funded by the ANR project SAPPORO, ref. 2019-CE25-0005-1.

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Hiroto Yasumi, Fukuhito Ooshita, Michiko Inoue, and Sébastien Tixeuil. Uniform Bipartition in the Population Protocol Model with Arbitrary Communication Graphs. In 24th International Conference on Principles of Distributed Systems (OPODIS 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 184, pp. 33:1-33:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021) https://doi.org/10.4230/LIPIcs.OPODIS.2020.33

Abstract

In this paper, we focus on the uniform bipartition problem in the population protocol model. This problem aims to divide a population into two groups of equal size. In particular, we consider the problem in the context of arbitrary communication graphs. As a result, we investigate the solvability of the uniform bipartition problem with arbitrary communication graphs when agents in the population have designated initial states, under various assumptions such as the existence of a base station, symmetry of the protocol, and fairness of the execution. When the problem is solvable, we present protocols for uniform bipartition. When global fairness is assumed, the space complexity of our solutions is tight.

Subject Classification

ACM Subject Classification
  • Theory of computation → Distributed algorithms
  • Theory of computation → Concurrent algorithms
Keywords
  • population protocol
  • uniform bipartition
  • distributed protocol

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