Statistical Properties of a Generalized Threshold Network Model

Yusuke Ide (), Norio Konno () and Naoki Masuda ()
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Yusuke Ide: Yokohama National University
Norio Konno: Yokohama National University
Naoki Masuda: The University of Tokyo

Methodology and Computing in Applied Probability, 2010, vol. 12, issue 3, 361-377

Abstract: 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.

Keywords: Complex networks; Threshold network models; Random graphs; 05C80; 60F15 (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s11009-008-9111-5

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