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Byzantine-Tolerant Gathering of Mobile Agents in Arbitrary Networks with Authenticated Whiteboards
Masashi TSUCHIDA Fukuhito OOSHITA Michiko INOUE
IEICE TRANSACTIONS on Information and Systems
Publication Date: 2018/03/01
Online ISSN: 1745-1361
Type of Manuscript: Special Section PAPER (Special Section on Foundations of Computer Science — Frontiers of Theoretical Computer Science —)
mobile agent, gathering problem, Byzantine fault,
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We propose an algorithm for the gathering problem of mobile agents in arbitrary networks (graphs) with Byzantine agents. Our algorithm can make all correct agents meet at a single node in O(fm) time (f is the upper bound of the number of Byzantine agents and m is the number of edges) under the assumption that agents have unique ID and behave synchronously, each node is equipped with an authenticated whiteboard, and f is known to agents. Here, the whiteboard is a node memory where agents can leave information. Since the existing algorithm achieves gathering without a whiteboard in Õ(n9λ) time, where n is the number of nodes and λ is the length of the longest ID, our algorithm shows an authenticated whiteboard can significantly reduce the time for the gathering problem in Byzantine environments.