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IEICE TRANSACTIONS on Information

Byzantine-Tolerant Gathering of Mobile Agents in Asynchronous Arbitrary Networks with Authenticated Whiteboards

Masashi TSUCHIDA, Fukuhito OOSHITA, Michiko INOUE

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Summary :

We propose two algorithms for the gathering 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. Here, a weakly Byzantine agent can make arbitrary behavior except falsifying its ID. Under these assumptions, the first algorithm achieves a gathering without termination detection in O(m+fn) moves per agent (m is the number of edges and n is the number of nodes). The second algorithm achieves a gathering with termination detection in O(m+fn) moves per agent by additionally assuming that agents on the same node are synchronized, $f<lceil rac{1}{3} k ceil$ 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.

Publication
IEICE TRANSACTIONS on Information Vol.E103-D No.7 pp.1672-1682
Publication Date
2020/07/01
Publicized
2020/04/15
Online ISSN
1745-1361
DOI
10.1587/transinf.2019EDP7311
Type of Manuscript
PAPER
Category
Dependable Computing

Authors

Masashi TSUCHIDA
  Nara Institute of Science and Technology
Fukuhito OOSHITA
  Nara Institute of Science and Technology
Michiko INOUE
  Nara Institute of Science and Technology

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