A new parameter for a broadcast algorithm with locally bounded Byzantine faults

  • Authors:
  • Akira Ichimura;Maiko Shigeno

  • Affiliations:
  • Graduate School of Systems and Information Engineering, University of Tsukuba, 305-8573, Japan;Graduate School of Systems and Information Engineering, University of Tsukuba, 305-8573, Japan

  • Venue:
  • Information Processing Letters
  • Year:
  • 2010

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Abstract

This paper deals with broadcasting in a network with t-locally bounded Byzantine faults. One of the simplest broadcasting algorithms under Byzantine failures is referred to as a certified propagation algorithm (CPA), which is the only algorithm we know that does not use any global knowledge of the network topology. Hence, it is worth focusing on a graph-theoretic parameter such that CPA will work correctly. Using the theory of maximum adjacency (MA) ordering, a new graph-theoretic parameter for CPA is proposed. Within a factor of two, this parameter approximates the largest t such that CPA works for t-locally bounded Byzantine faults.