On conditional fault tolerant of dual-cubes
Xiaoxue Yang, Shuming Zhou · International Journal of Parallel Emergent and Distributed Systems · 2012
Fault tolerance is especially important for interconnection networks, since the growing size of the networks increases its vulnerability to component failures. A classic 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 -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 study investigates the -connectivity of the dual-cubes for h = 1 and h = 2, respectively. Furthermore, the study establishes the conditional diagnosability of under the Preparata Metze Chien (PMC) model.