It is deduced that the degree distribution of a citation network also shows power-law dependence P(k) ∼ k −γ with exponent γ ≈ 3.5% and the clustering coefficient of node i in citation network is larger if its neighbors add into the net earlier.Expand

Physical review. E, Statistical, nonlinear, and soft matter physics

2009

TLDR

The optimal parameter values suggest that the impact of scientific papers, at least in the empirical data set the authors model, is proportional to the inverse of the number of papers since they were published.Expand

The shape of such distributions is characterised by a ‘width’, $$\sigma ^2$$σ2, associated with fitting a log-normal to each distribution, and the width is found to be approximately constant for publications published in different years.Expand

By mapping the electronic database containing all papers in Scientometrics for a 26-year period (1978-2004), we uncover the topological measures that characterize the network at a given moment, as… Expand

In this paper we show that assigning weights to the edges in a collaboration network of authors, according to a decreasing exponential function depending on the time elapsed since the publication of… Expand

A stochastic generative model to represent a directed graph constructed by citations among academic papers, where nodes and directed edges represent papers with discrete publication time and citations respectively is proposed and can generate simulated graphs that are similar to the original data concerning the in- and out-degree distributions, and node triangle participation.Expand