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Cheng, E., Lesniak, L., Lipman, M. and Liptak, L. (2009) Conditional Matching Preclusion Sets. Information Sciences, 179, 1092-1101. https://doi.org/10.1016/j.ins.2008.10.029

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• TITLE: Reliability Analysis of Crossed Cube Networks on Degree

  AUTHORS: Litao Guo

  KEYWORDS: Interconnection Structure, Fault Tolerance, Reliability, Conditional Connectivity

  JOURNAL NAME: Journal of Computer and Communications, Vol.6 No.1, December 29, 2017

  ABSTRACT: Crossed cubes network is a kind of interconnection structure as a basis for distributed memory parallel computer architecture. Reliability takes an important role in fault tolerant computing on multiprocessor systems. Connectivity is a vital metric to explore fault tolerance and reliability of network structure based on a graph model. Let be a connected graph. The k-conditional edge connectivity is the cardinality of the minimum edge cuts , if any, whose deletion disconnects and each component of has property of minimum degree . The k-conditional connectivity can be defined similarly. In this paper, we determine the k- conditional (edge) connectivity of crossed cubes for small k. And we also prove other properties of .