Statistical properties of a generalized threshold network model
Probability
2010-10-12 v1
Abstract
The threshold network model is a type of finite random graphs. 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 to show that the strong law of large numbers can be uniform convergence. We also prove two limit theorems for the local and global clustering coefficients.
Cite
@article{arxiv.0707.1744,
title = {Statistical properties of a generalized threshold network model},
author = {Yusuke Ide and Norio Konno and Naoki Masuda},
journal= {arXiv preprint arXiv:0707.1744},
year = {2010}
}
Comments
12 pages