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Fast Deterministic Algorithms for Highly-Dynamic Networks

Authors Keren Censor-Hillel, Neta Dafni, Victor I. Kolobov, Ami Paz, Gregory Schwartzman

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  • Theory of computation
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  • dynamic distributed algorithms

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Abstract

This paper provides an algorithmic framework for obtaining fast distributed algorithms for a highly-dynamic setting, in which arbitrarily many edge changes may occur in each round. Our algorithm significantly improves upon prior work in its combination of (1) having an O(1) amortized time complexity, (2) using only O(log{n})-bit messages, (3) not posing any restrictions on the dynamic behavior of the environment, (4) being deterministic, (5) having strong guarantees for intermediate solutions, and (6) being applicable for a wide family of tasks.
The tasks for which we deduce such an algorithm are maximal matching, (degree+1)-coloring, 2-approximation for minimum weight vertex cover, and maximal independent set (which is the most subtle case). For some of these tasks, node insertions can also be among the allowed topology changes, and for some of them also abrupt node deletions.

Cite As Get BibTex

Keren Censor-Hillel, Neta Dafni, Victor I. Kolobov, Ami Paz, and Gregory Schwartzman. Fast Deterministic Algorithms for Highly-Dynamic Networks. In 24th International Conference on Principles of Distributed Systems (OPODIS 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 184, pp. 28:1-28:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021) https://doi.org/10.4230/LIPIcs.OPODIS.2020.28

Author Details

Keren Censor-Hillel
  • Technion, Haifa, Israel
Neta Dafni
  • Technion, Haifa, Israel
Victor I. Kolobov
  • Technion, Haifa, Israel
Ami Paz
  • Faculty of Computer Science, Universität Wien, Austria
Gregory Schwartzman
  • Japan Advanced Institute of Science and Technology, Ishikawa, Japan

Funding

  • Censor-Hillel, Keren: This project has received funding from the European Union’s Horizon 2020 Research And Innovation Program under grant agreement no.755839.
  • Paz, Ami: We acknowledge the Austrian Science Fund (FWF) and netIDEE SCIENCE project P 33775-N.
  • Schwartzman, Gregory: This work was supported by JSPS Kakenhi Grant Number JP19K20216 and JP18H05291.

Acknowledgements

The authors are indebted to Yannic Maus for invaluable discussions which helped us pinpoint the exact definition of fixing in dynamic networks that we eventually use. We also thank Juho Hirvonen for comments about an earlier draft of this work, and Shay Solomon for useful discussions about his work in [Sepehr Assadi et al., 2018; Sepehr Assadi et al., 2019]. We thank Hagit Attiya and Michal Dory for their input about related work.

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