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On fault tolerant routings in general networks

By David Peleg and Barbara Simons

Abstract

AbstractWe construct fault-tolerant routings for several families of graphs, including all graphs of maximal degree less than cn13 for some c>0. With these routings, the diameter of the surviving graph is bounded by a constant (e.g., 4 or 6), so long as the number of faults is less than the connectivity of the graph. This result partially confirms a conjecture of Dolev et al. (1984, in “Proceedings, 16th ACM Symp. on Theory of Comput.,” pp. 526–535)

Publisher: Published by Elsevier Inc.
Year: 1987
DOI identifier: 10.1016/0890-5401(87)90010-1
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