Reliability of DQcube Networks Under the Condition of r-Component

Connectivity is an important measure parameter to evaluate the fault tolerance of networks. With the continuous expansion of networks scale, it is inevitable that the processor fails. Once the processor fails, the information processed by the failed processor will be unreliable, which may cause fatal consequences. Therefore, it is of great significance to study the connectivity and diagnosability of networks. In this paper, we establish that the [Formula: see text]-component connectivity of DQcube is [Formula: see text], where [Formula: see text] and [Formula: see text]. Furthermore, we determine that the [Formula: see text]-component diagnosability of DQcube is [Formula: see text] under the PMC model and the MM* model, where [Formula: see text] and [Formula: see text].