A comparison-based diagnosis algorithm tailored for crossed cube multiprocessor systems

Comparison-based diagnosis is an effective approach to system-level fault diagnosis. Under the Maeng–Malek comparison model (MM* model), Sengupta and Dahbura proposed an O( N 5) diagnosis algorithm for general diagnosable systems with N nodes. Thanks to lower diameter and better graph embedding capability as compared with a hypercube of the same size, the crossed cube has been a promising candidate for interconnection networks. In this paper, we propose a fault diagnosis algorithm tailored for crossed cube connected multicomputer systems under the MM* model. By introducing appropriate data structures, this algorithm runs in O ( N log 2 2 N ) time, which is linear in the size of the input. As a result, this algorithm is significantly superior to the Sengupta–Dahbura's algorithm when applied to crossed cube systems.