Fault-tolerant diameter for three family interconnection networks

  • Authors:
  • Tongliang Shi;Mei Lu

  • Affiliations:
  • Department of Mathematical Sciences, Tsinghua University, Beijing, China 100084;Department of Mathematical Sciences, Tsinghua University, Beijing, China 100084

  • Venue:
  • Journal of Combinatorial Optimization
  • Year:
  • 2012

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Abstract

Let G=(V,E) be an k-connected graph. The (k驴1)-fault-tolerant diameter of G, denoted by D k (G), is defined as D k (G)=max驴{d(G驴F)|F驴V(G) and |F|=k驴1}, where G驴F denotes the subgraph induced by V(G)驴F. The fault-tolerant diameter is one important parameter for measuring the reliability and efficiency of interconnection networks. In this paper, we will give the bounds of fault-tolerant diameter of three family interconnection networks.