On the complexity of distributed broadcasting and MDS construction in radio networks

Tomasz Jurdzinski, Dariusz R. Kowalski

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

2 Scopus citations

Abstract

We study two fundamental problems in the model of undirected radio networks: broadcasting and construction of a Minimal Dominating Set (MDS). The network is ad hoc, in the sense that initially nodes know only their own ID and the IDs of their neighbors. For both problems, we provide deterministic distributed algorithms working in O(D√n log6 n) communication rounds, and complement them by a close lower bound Ω(√Dn log(n/D)) , where n is the number of nodes and D is the radius of the radio network. Our work provides several novel algorithmic methods for overcoming the impact of collisions in radio networks, and shrinks the gap between the lower and the upper bounds for the considered problems from polynomial to polylogarithmic, for networks with small (polylogarithmic) radius.

Original languageEnglish (US)
Title of host publicationPrinciples of Distributed Systems - 16th International Conference, OPODIS 2012, Proceedings
Pages209-223
Number of pages15
DOIs
StatePublished - Dec 1 2012
Externally publishedYes
Event16th International Conference on Principles of Distributed Systems, OPODIS 2012 - Rome, Italy
Duration: Dec 18 2012Dec 20 2012

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume7702 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference16th International Conference on Principles of Distributed Systems, OPODIS 2012
CountryItaly
CityRome
Period12/18/1212/20/12

Keywords

  • broadcasting
  • distributed algorithms
  • minimal dominating set
  • radio networks

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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  • Cite this

    Jurdzinski, T., & Kowalski, D. R. (2012). On the complexity of distributed broadcasting and MDS construction in radio networks. In Principles of Distributed Systems - 16th International Conference, OPODIS 2012, Proceedings (pp. 209-223). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 7702 LNCS). https://doi.org/10.1007/978-3-642-35476-2_15