Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5103535 | Physica A: Statistical Mechanics and its Applications | 2017 | 7 Pages |
Abstract
Spectral analysis is a powerful tool that provides global measures of the network properties. In this paper, 200 English articles are collected. A word co-occurrence network is constructed from each single article (denoted by single network). Furthermore, 5 large English word co-occurrence networks are constructed (denoted by large network). Spectra of their adjacency matrices are computed. The largest eigenvalue, λ1, depends on the network size N and the number of edges E as λ1âN0.66 and λ1âE0.54, respectively. The number of different eigenvalues, Nλ, increase in the manner of NλâN0.58 and NλâE0.47. The middle part of the spectral distribution can be fitted by a line with slope â0.01 in each of the large networks, whereas two segments with the same slope â0.03 for 0âªN<260 and â0.02 for 260
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Wei Liang,