An O(log3N) Algorithm for Reliability Assessment of 3-Ary n-Cubes Based on h-Extra Edge Connectivity

Liqiong Xu, Shuming Zhou, Sun Yuan Hsieh

研究成果: Article同行評審

4 引文 斯高帕斯(Scopus)


Reliability evaluation of multiprocessor systems is of great significance to the design and maintenance of these systems. As two generalizations of traditional edge connectivity, extra edge connectivity and component edge connectivity are two important parameters to evaluate the fault-tolerant capability of multiprocessor systems. Fast identifying the extra edge connectivity and the component edge connectivity of high order remains a scientific problem for many useful multiprocessor systems. In this article, we determine the h-extra edge connectivity of the 3-ary n-cube Qn3 for h\in [1, frac3n-12]. Specifically, we divide the interval [1, frac3n-12] into some subintervals and characterize the monotonicity of λ h(Qn3) in these subintervals and then deduce a recursive closed formula of λ h(Qn3). Based on this formula, an efficient algorithm with complexity O(log 3\,N) is designed to determine the exact values of h-extra edge connectivity of the 3-ary n-cube Qn3 for h [1, 3n-12] completely. Moreover, we also determine the g-component edge connectivity of the 3-ary n-cube Qn3(n ≥q 6) for 1 ≤ g ≤ 3n2 .

頁(從 - 到)1230-1240
期刊IEEE Transactions on Reliability
出版狀態Published - 2022 9月 1

All Science Journal Classification (ASJC) codes

  • 安全、風險、可靠性和品質
  • 電氣與電子工程