Statistical Properties of a Generalized Threshold Network Model
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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.
KeywordsComplex networks Threshold network models Random graphs
AMS 2000 Subject Classifications05C80 60F15
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