High fault-tolerant performance of the divide-and-swap cube network

Abstract

Two crucial metrics used to evaluate the fault tolerance of interconnection networks are connectivity and diagnosability. By improving the connectivity and diagnosability of the interconnection network, its fault tolerance can be enhanced. In this paper, we focus on determining the g-extra connectivity $(0\le g\le 10)$ of the divide-and-swap cube $DS{C}_n$, as well as its diagnosability based on the pessimistic diagnosis strategy and g-extra precise diagnosis strategy, under the PMC and MM* models. The research analysis suggests that compared with some other connectivity and diagnosability of $DS{C}_n$, such as classical connectivity, structure connectivity, super connectivity, and classical diagnosability, the extra connectivity/diagnosability and pessimistic diagnosability of $DS{C}_n$ enable it to have a higher fault tolerance. Moreover, we propose two $O(N{\log }_{2}N)$ effective diagnosis algorithms of $DS{C}_n$: the g-extra diagnosis algorithm (EX-Diagnosis${}_{DS{C}_n}$) and the pessimistic diagnosis algorithm (PE-Diagnosis${}_{DS{C}_n}$), where the EX-Diagnosis${}_{DS{C}_n}$ algorithm can accurately diagnose the state of all processors in $DS{C}_n$.