期刊
DISCRETE APPLIED MATHEMATICS
卷 203, 期 -, 页码 144-157出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.dam.2015.09.002
关键词
DCell network; DCN; Connectivity; Restricted connectivity; Fault-tolerance
资金
- National Natural Science Foundation of China [61170021, 61572337]
- Collaborative Innovation Center of Novel Software Technology and Industrialization
- Natural Science Foundation of the Jiangsu Higher Education Institutions of China [12KJB520016]
Traditional data center networks (DCNs) are faced with many challenges with the development of cloud computing. This fact makes design of new DCNs represented by DCell networks become a hot research topic. For any integers k >= 0 and n >= 2, the k-dimensional DCell with n-port switches and t(k,n) nodes, D-k,D-n, has been proposed for an important DCNs as a server-centric DCN structure. In this paper, we prove that under the condition that each fault-free node of the D-k,D-n has at least h fault-free neighbor(s) its restricted h-connectivity is (h+1)(k-1) + n (resp. (n+k-h-1)t(h-n+n+1,n)) with 0 <= h <= n-1 (resp. n <= h <= n+k-2), which is almost as (h+1) (resp. t(h-n+1,n)) times as traditional connectivity of D-k,D-n. When the DCell network is used to model the topological structure of a large-scale DCN, this result can provide a more accurate measure for the fault tolerance of the network. (C) 2015 Elsevier B.V. All rights reserved.
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