Generalized Measures of Fault Tolerance with Application to N-Cube Networks
IEEE Transactions on Computers
Introduction to parallel algorithms and architectures: array, trees, hypercubes
Introduction to parallel algorithms and architectures: array, trees, hypercubes
A Variation on the Hypercube with Lower Diameter
IEEE Transactions on Computers
Topological properties of the crossed cube architecture
Parallel Computing
Conditional fault diameter of star graph networks
Journal of Parallel and Distributed Computing
Connectivity of the crossed cube
Information Processing Letters
Edge Congestion and Topological Properties of Crossed Cubes
IEEE Transactions on Parallel and Distributed Systems
Combinatorial Analysis of the Fault-Diameter of the N-Cube
IEEE Transactions on Computers
Conditional Connectivity Measures for Large Multiprocessor Systems
IEEE Transactions on Computers
Embedding Binary Trees into Crossed Cubes
IEEE Transactions on Computers
The Crossed Cube Architecture for Parallel Computation
IEEE Transactions on Parallel and Distributed Systems
IEEE Transactions on Parallel and Distributed Systems
Diagnosability of Crossed Cubes under the Comparison Diagnosis Model
IEEE Transactions on Parallel and Distributed Systems
Fault-tolerant cycle-emebedding of crossed cubes
Information Processing Letters
Optimal Path Embedding in Crossed Cubes
IEEE Transactions on Parallel and Distributed Systems
Many-to-Many Disjoint Path Covers in Hypercube-Like Interconnection Networks with Faulty Elements
IEEE Transactions on Parallel and Distributed Systems
On conditional diagnosability and reliability of the BC networks
The Journal of Supercomputing
Embedding meshes/tori in faulty crossed cubes
Information Processing Letters
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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.