Noisy beeping networks

Yagel Ashkenazi, Ran Gelles*, Amir Leshem

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Beeping networks consist of exceedingly simple computational devices whose communication is based on beeps and silence. In this work, we introduce noisy beeping networks, where the observed communication is noisy with some fixed probability of error. We show how to transform any algorithm over a noiseless beeping network into a noise-resilient version while incurring a multiplicative overhead of essentially O(log⁡n) in its round complexity, with high probability. Our coding is optimal for some (short) tasks, such as the node-coloring of cliques. Interestingly, in the case of coloring, our technique achieves the same complexity as the standard beeping model while being noise resilient. We further show how to simulate a large family of algorithms designed for distributed networks in the CONGEST(B) model over a noisy beeping network, with a multiplicative overhead of O(B⋅Δ⋅min⁡(n,Δ2)) in the round complexity, where Δ is the maximum degree of the network.

Original languageAmerican English
Article number104925
JournalInformation and Computation
DOIs
StateAccepted/In press - 2022
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2022 Elsevier Inc.

Keywords

  • Beeping networks
  • Computation with noise
  • Fault-tolerant distributed computing

Fingerprint

Dive into the research topics of 'Noisy beeping networks'. Together they form a unique fingerprint.

Cite this