Reliability Evaluation Of Multiprocessor System Based On The Balanced Complete Multipartite Graphs

Author:

Yu Zhecheng12,Xu Liqiong12

Affiliation:

1. School of Science, Jimei University , Xiamen, Fujian 361021, PR   China

2. Digital Fujian big data modeling and Intelligent Computing Institute Jimei University , Xiamen, Fujian 361021, PR   China

Abstract

AbstractReliability evaluation of multiprocessor systems is of significant importance in the design and maintenance of multiprocessor systems. Based on edge-connectivity, more refined quantitative indicators for the reliability of multiprocessor systems have been introduced. The extra edge-connectivity and the component edge-connectivity, as two important parameters to evaluate the robustness of multiprocessor systems, are explored extensively. In this paper, we determine the $h$-extra edge-connectivity and the $(g+1)$-component edge-connectivity of the balanced complete $t$-partite graph $K_{r}^{t}$ for $t, r\geq 2$, where $1\leq h \leq \lfloor tr/2 \rfloor$ and $2\leq g \leq tr-1$.

Funder

Natural Science Foundation of Fujian Province

Publisher

Oxford University Press (OUP)

Subject

General Computer Science

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