Elsevier

Information Processing Letters

Volume 103, Issue 6, 15 September 2007, Pages 222-226
Information Processing Letters

Fault-tolerant analysis of a class of networks

https://doi.org/10.1016/j.ipl.2007.04.005Get rights and content

Abstract

In this paper, we explore the 2-extraconnectivity of a special class of graphs G(G0,G1;M) proposed by Chen et al. [Y.-C. Chen, J.J.M. Tan, L.-H. Hsu, S.-S. Kao, Super-connectivity and super edge-connectivity for some interconnection networks, Applied Mathematics and Computation 140 (2003) 245–254]. As applications of the results, we obtain that the 2-extraconnectivities of several well-known interconnection networks, such as hypercubes, twisted cubes, crossed cubes, Möbius cubes and locally twisted cubes, are all equal to 3n5 when their dimension n is not less than 8. That is, when n8, at least 3n5 vertices must be removed to disconnect any one of these n-dimensional networks provided that the removal of these vertices does not isolate a vertex or an edge.

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    The work was supported by NNSF of China (Nos. 10671191 and 10626053).

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    Part of the work was done while the author was working at Inst. of Applied Math., Chinese Academy of Sciences, Beijing, China.

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