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• W1961498537 abstract "Fault tolerance is especially important for interconnection networks, since the growing size of networks increases their vulnerability to component failures. A classical measure for the fault tolerance of a network in the case of vertex failures is its connectivity. Given a network based on a graph G and a positive integer h, the Rh-connectivity of G is the minimum cardinality of a set of vertices in G, if any, whose deletion disconnects G, and the minimum degree of every connected component is at least h. This paper investigates the Rh-connectivity (h=1,2) of the hierarchical cubic network HCNn (n≥2), and shows that κ1(HCNn)=2n, κ2(HCNn)=4n−4, respectively. Furthermore, the paper establishes the conditional diagnosability of HCNn under the PMC diagnostic model." @default.
• W1961498537 created "2016-06-24" @default.
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• W1961498537 date "2016-01-01" @default.
• W1961498537 modified "2023-09-25" @default.
• W1961498537 title "On conditional fault tolerance and diagnosability of hierarchical cubic networks" @default.
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• W1961498537 doi "https://doi.org/10.1016/j.tcs.2015.10.030" @default.
• W1961498537 hasPublicationYear "2016" @default.
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