Consider a communication network G in which a limited number of link and/or node faults F might occur. A routing p for the network(a fixed path between each pair of nodes) must be chosen without knowing which components might become faulty. The diameter of the surviving route graph R(G, p)/F, where the surviving route graph R(G, p)/F is a directed graph consisting of all nonfaulty nodes in G with a directed edge from x to y iff there are no faults on the route from x to y, could be one of the fault-tolerant measures for the routing p. In this paper, we show that we can construct efficient and highly fault-tolerant routings on a k-dimensional generalized d-hypercube C(d, k) such that the diameter of the surviving route graph is bounded by constant for the case that the number of faults exceeds the connectivity of C(d, k).
CITATION STYLE
Wada, K., Ikeo, T., Kawaguchi, K., & Chen, W. (1995). Highly fault-tolerant routings and diameter vulnerability for generalized hypercube graphs. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1017, pp. 197–208). Springer Verlag. https://doi.org/10.1007/3-540-60618-1_76
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