Statistical Properties of a Generalized Threshold Network Model

@article{Ide2007StatisticalPO,
  title={Statistical Properties of a Generalized Threshold Network Model},
  author={Y. Ide and N. Konno and N. Masuda},
  journal={Methodology and Computing in Applied Probability},
  year={2007},
  volume={12},
  pages={361-377}
}
  • Y. Ide, N. Konno, N. Masuda
  • Published 2007
  • Mathematics
  • Methodology and Computing in Applied Probability
  • The threshold network model is a type of finite random graph. In this paper, we introduce a generalized threshold network model. A pair of vertices with random weights is connected by an edge when real-valued functions of the pair of weights belong to given Borel sets. We extend several known limit theorems for the number of prescribed subgraphs and prove a uniform strong law of large numbers. We also prove two limit theorems for the local and global clustering coefficients. 
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