The relationship between extra connectivity and conditional diagnosability of regular graphs under the PMC model

Reliability evaluation of interconnection network is important to the design and maintenance of multiprocessor systems. Extra connectivity and conditional diagnosability are two crucial subjects for a multiprocessor system's ability to tolerate and diagnose faulty processors. However, the extra connectivity and conditional diagnosability of many well-known networks have been independently investigated. Fault diagnosis of general regular graph is more meaningful than that of special graph. In this paper, the relationship between extra connectivity and conditional diagnosability of regular graphs is explored. First, we determine that the conditional diagnosability under the PMC model equals 3-extra connectivity plus 1 or 3-extra connectivity plus 2. Finally, we give empirical analysis on extra connectivity and conditional diagnosability of some graphs by our proposed relationship.