Article ID Journal Published Year Pages File Type
5103535 Physica A: Statistical Mechanics and its Applications 2017 7 Pages PDF
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 λ1∝N0.66 and λ1∝E0.54, respectively. The number of different eigenvalues, Nλ, increase in the manner of Nλ∝N0.58 and Nλ∝E0.47. The middle part of the spectral distribution can be fitted by a line with slope −0.01 in each of the large networks, whereas two segments with the same slope −0.03 for 0≪N<260 and −0.02 for 260
Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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