3-Extra Connectivity of the Data Center Network BCube.

Autor: Yi, Yi, Fan, Jianxi, Cheng, Baolei, Wang, Yan, Yu, Jia
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Zdroj: Computer Journal; Dec2022, Vol. 65 Issue 12, p3199-3208, 10p
Abstrakt: Connectivity is a significant metric to assess the fault tolerance of a network. For a faulty vertex set |$H$|⁠ , the |$h$| -extra connectivity is defined under the assumption that every component of the network removing |$H$| has at least |$h+1$| fault-free vertices. Compared to the traditional connectivity, which is defined under the assumption that the network removing |$H$| is disconnected or trivial, the |$h$| -extra connectivity can better reflect the true fault tolerance of the network. The |$BCube$| is an important server-centric data center network; it has good fault tolerance and scalability. In this paper, our research focuses on the logical structure of |$BCube$|⁠ , named |$BC_{n,k}$|⁠ , which is actually a specific type of generalized hypercubes. We prove that the 3-extra connectivity of |$BC_{n,k}$| is |$4(k+1)(n-1)-4n$| for |$k\geq 4$| and |$n\geq 4$|⁠. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index