# 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} }

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.

11 Citations

Limit theorems for some statistics of a generalized threshold network model(Theory of Biomathematics and its Applications III)

- Mathematics
- 2007

7- PDF

Limit Theorems for the Average Distance and the Degree Distribution of the Threshold Network Model

- Mathematics
- 2009

9- PDF

Scaling Laws for Connectivity in Random Threshold Graph Models with Non-Negative Fitness Variables

- Mathematics, Computer Science
- IEEE Journal on Selected Areas in Communications
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9- PDF

Universal power laws in the threshold network model: A theoretical analysis based on extreme value theory

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Continuous-time quantum walks on the threshold network model

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- Math. Struct. Comput. Sci.
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Spectral Properties of the Threshold Network Model

- Mathematics, Computer Science
- Internet Math.
- 2009

8- PDF

Generalised thresholding of hidden variable network models with scale-free property

- Computer Science, Medicine
- Scientific Reports
- 2019

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