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Gathering of Mobile Agents in Asynchronous Byzantine Environments with Authenticated Whiteboards

  • Masashi TsuchidaEmail author
  • Fukuhito Ooshita
  • Michiko Inoue
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11028)

Abstract

We propose two algorithms for the gathering problem of k mobile agents in asynchronous Byzantine environments. For both algorithms, we assume that graph topology is arbitrary, each node is equipped with an authenticated whiteboard, agents have unique IDs, and at most f weakly Byzantine agents exist. Under these assumptions, the first algorithm achieves the gathering without termination in \(O(m+fn)\) moves per agent (m is the number of edges and n is the number of nodes). The second algorithm achieves the gathering with termination in \(O(m+fn)\) moves per agent by additionally assuming that agents on the same node are synchronized, \(f<\lceil \frac{1}{3} k \rceil \) holds, and agents know k. To the best of our knowledge, this is the first work to address the gathering problem of mobile agents for arbitrary topology networks in asynchronous Byzantine environments.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Masashi Tsuchida
    • 1
    Email author
  • Fukuhito Ooshita
    • 1
  • Michiko Inoue
    • 1
  1. 1.Nara Institute of Science and TechnologyIkomaJapan

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