Distributed deterministic broadcasting in wireless networks of weak devices

Tomasz Jurdzinski, Dariusz R. Kowalski, Grzegorz Stachowiak

Research output: Chapter in Book/Report/Conference proceedingConference contribution

17 Scopus citations

Abstract

Many futuristic technologies, such as Internet of Things or nano-communication, assume that a large number of simple devices of very limited energy and computational power will be able to communicate efficiently via wireless medium. Motivated by this, we study broadcasting in the model of ad-hoc wireless networks of weak devices with uniform transmission powers. We compare two settings: with and without local knowledge about immediate neighborhood. In the latter setting, we prove Ω(nlogn)-round lower bound and develop an algorithm matching this formula. This result could be made more accurate with respect to network density, or more precisely, the maximum node degree Δ in the communication graph. If Δ is known to the nodes, it is possible to broadcast in O(DΔlog2 n) rounds, which is almost optimal in the class of networks parametrized by D and Δ due to the lower bound Ω(DΔ). In the setting with local knowledge, we design a scalable and almost optimal algorithm accomplishing broadcast in O(Dlog2 n) communication rounds, where n is the number of nodes and D is the eccentricity of a network. This can be improved to O(Dlogg) if network granularity g is known to the nodes. Our results imply that the cost of "local communication" is a dominating component in the complexity of wireless broadcasting by weak devices, unlike in traditional models with non-weak devices in which well-scalable solutions can be obtained even without local knowledge.

Original languageEnglish (US)
Title of host publicationAutomata, Languages, and Programming - 40th International Colloquium, ICALP 2013, Proceedings
Pages632-644
Number of pages13
EditionPART 2
DOIs
StatePublished - Jul 23 2013
Externally publishedYes
Event40th International Colloquium on Automata, Languages, and Programming, ICALP 2013 - Riga, Latvia
Duration: Jul 8 2013Jul 12 2013

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
NumberPART 2
Volume7966 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference40th International Colloquium on Automata, Languages, and Programming, ICALP 2013
CountryLatvia
CityRiga
Period7/8/137/12/13

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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  • Cite this

    Jurdzinski, T., Kowalski, D. R., & Stachowiak, G. (2013). Distributed deterministic broadcasting in wireless networks of weak devices. In Automata, Languages, and Programming - 40th International Colloquium, ICALP 2013, Proceedings (PART 2 ed., pp. 632-644). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 7966 LNCS, No. PART 2). https://doi.org/10.1007/978-3-642-39212-2_55