On fault tolerant routings in general networks

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)