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

Tomasz Jurdzinski; Dariusz R. Kowalski

doi:10.1007/978-3-642-35476-2_15

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

Tomasz Jurdzinski, Dariusz R. Kowalski

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English (US)
Title of host publication	Principles of Distributed Systems - 16th International Conference, OPODIS 2012, Proceedings
Pages	209-223
Number of pages	15
DOIs	https://doi.org/10.1007/978-3-642-35476-2_15
State	Published - Dec 1 2012
Externally published	Yes
Event	16th International Conference on Principles of Distributed Systems, OPODIS 2012 - Rome, Italy Duration: Dec 18 2012 → Dec 20 2012

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	7702 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	16th International Conference on Principles of Distributed Systems, OPODIS 2012
Country/Territory	Italy
City	Rome
Period	12/18/12 → 12/20/12

Keywords

broadcasting
distributed algorithms
minimal dominating set
radio networks

ASJC Scopus subject areas

Theoretical Computer Science
General Computer Science

Access to Document

10.1007/978-3-642-35476-2_15

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

On the complexity of distributed broadcasting and MDS construction in radio networks. / Jurdzinski, Tomasz; Kowalski, Dariusz R.
Principles of Distributed Systems - 16th International Conference, OPODIS 2012, Proceedings. 2012. p. 209-223 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 7702 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Jurdzinski, T & Kowalski, DR 2012, On the complexity of distributed broadcasting and MDS construction in radio networks. in Principles of Distributed Systems - 16th International Conference, OPODIS 2012, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 7702 LNCS, pp. 209-223, 16th International Conference on Principles of Distributed Systems, OPODIS 2012, Rome, Italy, 12/18/12. https://doi.org/10.1007/978-3-642-35476-2_15

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

Jurdzinski, Tomasz ; Kowalski, Dariusz R. / On the complexity of distributed broadcasting and MDS construction in radio networks. Principles of Distributed Systems - 16th International Conference, OPODIS 2012, Proceedings. 2012. pp. 209-223 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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

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