Rigorous results on the threshold network model
Probability
2007-05-23 v1 Disordered Systems and Neural Networks
Abstract
We analyze the threshold network model in which a pair of vertices with random weights are connected by an edge when the summation of the weights exceeds a threshold. We prove some convergence theorems and central limit theorems on the vertex degree, degree correlation, and the number of prescribed subgraphs. We also generalize some results in the spatially extended cases.
Cite
@article{arxiv.math/0505681,
title = {Rigorous results on the threshold network model},
author = {Norio Konno and Naoki Masuda and Rahul Roy and Anish Sarkar},
journal= {arXiv preprint arXiv:math/0505681},
year = {2007}
}
Comments
21 pages, Journal of Physics A, in press