The extra connectivity and extra diagnosability of regular interconnection networks

Reliability assessment of interconnection networks is critical to the design of multiprocessor systems. Extra connectivity and extra diagnosability are two important metric parameters for the reliability evaluation of interconnection networks. In this paper, we first establish that the i-extra connectivities of regular networks with some conditions G_n are (i + 1)n − 2i for i = 1, 2, where n ≥ 4, and then determine that the i-extra diagnosabilities of the networks under the PMC model and the MM* model are (i + 1)n − i for i = 1, 2, where n ≥ 4. Furthermore, two polynomial time diagnostic algorithms of regular interconnection networks under the PMC and MM* model are described. Finally, the corresponding extra connectivities and extra diagnosabilities of some networks, including the star networks, the pancake networks and the burnt pancake networks, can be derived by our results.