Mobile Byzantine agreement on arbitrary network

Abstract

The mobile Byzantine agreement problem on general network is investigated for the first time. We first show that the problem is unsolvable on any network with the order n and the vertex connectivity d, if n ≤ 6t or d ≤ 4t, where t is an upper bound on the number of faulty processes. Assuming full synchronization and the existence of a permanently non-faulty process, we next propose two t-resilient mobile Byzantine agreement algorithms for some families of not fully connected networks. They are optimal on some networks, in the sense that they correctly work if n > 6t and d > 4t. © 2013 Springer International Publishing.