Polynomial Anonymous Dynamic Distributed Computing without a Unique Leader



Kowalski, Dariusz R ORCID: 0000-0002-1316-7788 and Mosteiro, Miguel A
(2021) Polynomial Anonymous Dynamic Distributed Computing without a Unique Leader. .

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Abstract

Counting the number of nodes in Anonymous Dynamic Networks is enticing from an algorithmic perspective: an important computation in a restricted platform with promising applications. Starting with Michail, Chatzigiannakis, and Spirakis [19], a flurry of papers sped up the running time guarantees from doubly-exponential to polynomial [16]. There is a common theme across all those works: a distinguished node is assumed to be present, because Counting cannot be solved deterministically without at least one. In the present work we study challenging questions that naturally follow: how to efficiently count with more than one distinguished node, or how to count without any distinguished node. More importantly, what is the minimal information needed about these distinguished nodes and what is the best we can aim for (count precision, stochastic guarantees, etc.) without any. We present negative and positive results to answer these questions. To the best of our knowledge, this is the first work that addresses them.

Item Type: Conference or Workshop Item (Unspecified)
Additional Information: arXiv admin note: text overlap with arXiv:1707.04282
Uncontrolled Keywords: cs.DC, cs.DC, 68W15
Depositing User: Symplectic Admin
Date Deposited: 15 Aug 2019 13:35
Last Modified: 19 Jan 2023 00:29
DOI: 10.4230/LIPIcs.ICALP.2019.147
Open Access URL: http://drops.dagstuhl.de/opus/volltexte/2019/10723...
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3051844