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On the Complexity of Distributed Broadcasting and MDS Construction in Radio Networks

  • Tomasz Jurdzinski
  • Dariusz R. Kowalski
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7702)

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 \(O(D\sqrt{n} \log^6 n)\) communication rounds, and complement them by a close lower bound \(\Omega(\sqrt{Dn\log(n/D)})\), 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.

Keywords

radio networks broadcasting minimal dominating set distributed algorithms 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Tomasz Jurdzinski
    • 1
  • Dariusz R. Kowalski
    • 2
  1. 1.Institute of Computer ScienceUniversity of WrocławPoland
  2. 2.Department of Computer ScienceUniversity of LiverpoolUnited Kingdom

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