Conditional fault diameter of crossed cubes
The conditional connectivity and the conditional fault diameter of a crossed cube are studied in this work. The conditional connectivity is the connectivity of an interconnection network with conditional faults, where each node has at least one fault-free neighbor. Based on this requirement, the conditional connectivity of a crossed Cube is shown to be 2n - 2. Extending this result, the conditional fault diameter of a crossed cube is also shown to be D(CQ(n)) + 3 as a set of 2n - 3 node failures. This indicates that the conditional fault diameter of a crossed Cube is increased by three compared to the fault-free diameter of a crossed cube. The conditional fault diameter of a crossed cube is approximately half that of the hypercube. In this respect, the crossed cube is superior to the hypercube. (C) 2008 Elsevier Inc. All rights reserved.
conditional fault diameter fault diameter crossed cubes conditional connectivity wide diameter conditional faulty sets