Deterministic M2M multicast in radio networks

  • Authors:
  • Leszek Gasieniec;Evangelos Kranakis;Andrzej Pelc;Qin Xin

  • Affiliations:
  • Department of Computer Science, The University of Liverpool, Liverpool, UK;School of Computer Science, Carleton University, Ottawa, Ont., Canada;Dép. d'informatique, Université du Québec en Outaouais, Gatineau, Qué., Canada;Department of Informatics, The University of Bergen, Bergen, Norway

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2006

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Abstract

We study the problem of exchanging messages within a fixed group of k nodes, called participants, in an n-node radio network, modeled as an undirected graph. This communication task was previously considered in the setting of ATM video applications, in [J.M. Tsai, H.-H. Fang, C.-Y. Lee, A multicast solution for ATM video applications, IEEE Trans. Circuits Systems Video Technol. 7 (1997) 675-686], and was called multipoint-to-multipoint (M2M) multicasting. While the radio network topology is known to all nodes, it is assumed that no node is aware of the location of the participants. We give a distributed deterministic algorithm for the M2M multicasting problem in radio networks, and analyze its time complexity. We show that if the maximum distance between any two out of k participants is d then this local information exchange problem can be solved in time O(d log2 n + k log4 n).