In this paper, we consider a uniform bipartition problem in a population protocol model. The goal of the uniform bipartition problem is to divide a population into two groups of the same size. We study the problem under various assumptions: 1) a population with or without a base station, 2) weak or global fairness, 3) symmetric or asymmetric protocols, and 4) designated or arbitrary initial states. As a result, we completely clarify constant-space solvability of the uniform bipartition problem and, if solvable, propose space-optimal protocols.
@InProceedings{yasumi_et_al:LIPIcs.OPODIS.2017.19, author = {Yasumi, Hiroto and Ooshita, Fukuhito and Yamaguchi, Ken'ichi and Inoue, Michiko}, title = {{Constant-Space Population Protocols for Uniform Bipartition}}, booktitle = {21st International Conference on Principles of Distributed Systems (OPODIS 2017)}, pages = {19:1--19:17}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-061-3}, ISSN = {1868-8969}, year = {2018}, volume = {95}, editor = {Aspnes, James and Bessani, Alysson and Felber, Pascal and Leit\~{a}o, Jo\~{a}o}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.OPODIS.2017.19}, URN = {urn:nbn:de:0030-drops-86482}, doi = {10.4230/LIPIcs.OPODIS.2017.19}, annote = {Keywords: population protocol, uniform bipartition, distributed protocol} }
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