YE Liangcheng, LIANG Jiarong. On Conditional h-Vertex Connectivity of Some Networks[J]. Chinese Journal of Electronics, 2016, 25(3): 556-560. doi: 10.1049/cje.2016.05.023
Citation: YE Liangcheng, LIANG Jiarong. On Conditional h-Vertex Connectivity of Some Networks[J]. Chinese Journal of Electronics, 2016, 25(3): 556-560. doi: 10.1049/cje.2016.05.023

On Conditional h-Vertex Connectivity of Some Networks

doi: 10.1049/cje.2016.05.023
Funds:  This work is supported by the National Natural Science Foundation of China (No.61363002).
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  • Corresponding author: LIANG Jiarong was born in 1966. He received the M.S. degree in applied mathematics from Northwestern Polytechnical University in 1995 and Ph.D. degree in institute of automation from South China University of Technology in 1998. He is a professor in School of Computer and Electronic Information, Guangxi University. His research interests are parallel and distributed, wireless sensor network and network reliability analysis. (Email: gxuliangjr@163.com)
  • Received Date: 2014-04-01
  • Rev Recd Date: 2014-07-07
  • Publish Date: 2016-05-10
  • The conditional h-vertex connectivity of G is defined as the minimum cardinality |S| (S ⊂V (G)) such that G-S is disconnected and has minimum degree at least h. It is an important measure of fault tolerance of networks. In this paper, we prove the lower bound of conditional hvertex connectivity of any n-dimensional hypercube-like network. We also determine the conditional h-vertex connectivity of Crossed cubes, Locally twisted cubes, Möbius cubes which are the members of hypercube-like networks.
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