Optimal deterministic broadcasting in known topology radio networks

  • Authors:
  • Dariusz R. Kowalski;Andrzej Pelc

  • Affiliations:
  • Department of Computer Science, The University of Liverpool, Liverpool, UK;Départment d'informatique, Université du Quéc en Outaouais, Gatineau, Québec, Canada

  • Venue:
  • Distributed Computing
  • Year:
  • 2007

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Abstract

We consider deterministic broadcasting in radio networks whose nodes have full topological information about the network. The aim is to design a polynomial algorithm, which, given a graph G with source s, produces a fast broadcast scheme in the radio network represented by G. The problem of finding a fastest broadcast scheme for a given graph is NP-hard, hence it is only possible to get an approximation algorithm. We give a deterministic polynomial algorithm which produces a broadcast scheme of length O(D + log2n), for every n-node graph of diameter D, thus improving a result of Gasieniec et al. (PODC 2005) [17] and solving a problem stated there. Unless the inclusion NP ⊆ BPTIME(nO(log log n)) holds, the length O(D + log2n) of a polynomially constructible deterministic broadcast scheme is optimal.