Statistical Properties of a Generalized Threshold Network Model |
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| Authors: | Yusuke Ide Norio Konno Naoki Masuda |
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| Institution: | 1.Department of Applied Mathematics,Yokohama National University,Yokohama,Japan;2.Graduate School of Information Science and Technology,The University of Tokyo,Tokyo,Japan |
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| Abstract: | 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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