Iterative Approximate Consensus in the Presence of Byzantine Link Failures [chapter]

Lewis Tseng, Nitin Vaidya
<span title="">2014</span> <i title="Springer International Publishing"> <a target="_blank" rel="noopener" href="" style="color: black;">Lecture Notes in Computer Science</a> </i> &nbsp;
This paper explores the problem of reaching approximate consensus in synchronous point-to-point networks, where each directed link of the underlying communication graph represents a communication channel between a pair of nodes. We adopt the transient Byzantine link failure model [15, 16] , where an omniscient adversary controls a subset of the directed communication links, but the nodes are assumed to be fault-free. Recent work has addressed the problem of reaching approximate consensus in
more &raquo; ... mplete graphs with Byzantine nodes using a restricted class of iterative algorithms that maintain only a small amount of memory across iterations [23, 21, 24, 12] . This paper addresses approximate consensus in the presence of Byzantine links. We extend our past work [23, 21] that provided exact characterization of graphs in which the iterative approximate consensus problem in the presence of Byzantine node failures is solvable. In particular, we prove a tight necessary and sufficient condition on the underlying communication graph for the existence of iterative approximate consensus algorithms under transient Byzantine link model [15, 16] .
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="">doi:10.1007/978-3-319-09581-3_7</a> <a target="_blank" rel="external noopener" href="">fatcat:z6qwk3ixknacrbwje4kldvaw3e</a> </span>
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