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K-set agreement bounds in round-based models through combinatorial topology

Shimi, Adam and Castañeda, Armando K-set agreement bounds in round-based models through combinatorial topology. (2020) In: 39th ACM Symposium on Principles of Distributed Computing (PODC 2020), 3 August 2020 - 7 August 2020 (Salerno, Italy).

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Official URL: https://doi.org/10.1145/3382734.3405752

Abstract

Round-based models are the main message-passing models; combinatorial topology applied to distributed computing provide sweeping results like general lower bounds. We combine both to study the computability of k set-agreement. Among all the possible round-based models, we consider oblivious ones, where the constraints are given only round per round by a set of allowed graphs. And among oblivious models, we focus on closed-above ones, that is models where the set of possible graphs is a union of above-closure of graphs. These capture intuitively the underlying structure required by some communication model, like containing a ring. We then derive lower bounds and upper bounds in one round for k set-agreement, such that these bounds are proved using combinatorial topology but stated only in terms of graph properties. These bounds extend to multiple rounds when limiting our algorithms to oblivious ones, that is ones that recall only pairs of process and initial value.

Item Type:Conference or Workshop Item (Paper)
Additional Information:Thanks to ACM : Association for Computing Machinery. The definitive version is available at http://dl.acm.org This papers appears in PODC '20. The original PDF is available at: https://dl.acm.org/doi/10.1145/3382734.3405752
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Other partners > Universidad Nacional Autónoma de México - UNAM (MEXICO)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
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ANR : Agence Nationale de la Recherche (France)
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Deposited On:10 Sep 2020 10:12

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