数据中心网络的循环连通性

IF 0.6 Q4 COMPUTER SCIENCE, THEORY & METHODS

International Journal of Parallel Emergent and Distributed Systems Pub Date : 2021-07-14 DOI:10.1080/17445760.2021.1952579

Hongzhou Zhu, J. Meng

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引用次数: 0

摘要

设G是连通图，F是的子集，S是的子集。G的循环顶点连通性，记作，是F的最小基数，使得G−F是不连通的，并且它的至少两个分量包含环。G的循环边连通性，记作，是S的最小基数，使得G−S是不连通的，并且它的至少两个分量包含循环。表示数据中心网络。本文得到如下结果:为;为，;为;为;对于，。

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Cyclic connectivity of the data center network

Let G be a connected graph, F be a subset of , S be a subset of . The cyclic vertex connectivity of G, denoted by , is the minimum cardinality of F such that G−F is disconnected and at least two of its components contain cycles. The cyclic edge connectivity of G, denoted by , is the minimum cardinality of S such that G−S is disconnected and at least two of its components contain cycles. Let denote the data center network. In this paper, we obtain the following results: for ; for , ; for ; for ; for , .

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来源期刊

International Journal of Parallel Emergent and Distributed Systems COMPUTER SCIENCE, THEORY & METHODS-

CiteScore

2.30

自引率

0.00%

发文量