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Component connectivity of the data center network DCell

Published: 01 May 2023 Publication History

Highlights

The design of data center networks (DCNs) represented by DCell networks is a hot research topic. DCell is an excellent network performing by using a large number of servers and inexpensive commodity switches. As a server-centric DCN, DCell possesses many desirable features.
The concept of h-component connectivity, proposed by Chartrand et al. and Sam- pathkumar independently, has been applied successfully in the further study of fault tolerance and reliability of networks.
The m-dimensional DCell network with n-port switches is represented by D m, n for integers m ≥ 0 and n ≥ 0. We determine the h-component connectivity of D m, n for 2 ≤ h ≤ 5.

Abstract

In a simple non-complete graph G, an h-component cut is a vertex subset S of V ( G ) such that G − S has at least h components for any positive integer h. The h-component connectivity of G, denoted by κ h c ( G ), is the minimum cardinality of all h-component cuts of G. The m-dimensional DCell network with n-port switches is represented by D m, n for integers m ≥ 0 and n ≥ 2. In this paper, we determine the h-component connectivity of D m, n for 2 ≤ h ≤ 5.

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Published In

cover image Applied Mathematics and Computation
Applied Mathematics and Computation  Volume 444, Issue C
May 2023
346 pages

Publisher

Elsevier Science Inc.

United States

Publication History

Published: 01 May 2023

Author Tags

  1. Data center network DCell
  2. h-component cut
  3. h-component connectivity

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