The citation networks model with random aging

In citation networks, the age of the articles published plays an important role in deciding the preferential attachment probability of the publishing article. In this article, we consider the aging to be cited of the article decays as (t−ti) −η, where t − ti denotes the time when node i exists in the networks, η is a random variable and denotes the aging decay exponent of the article published. We deduce that the degree distribution of a citation network also shows power-law dependence P(k) ∼ k −γ with exponent γ ≈ 3. At the same time, we study the clustering property of this networks, calculate the clustering coefficient of node i in citation network. We find that the clustering coefficient of node i is larger if its neighbors add into the net earlier. © 2011 Wiley Periodicals, Inc. Complexity, 2012. © 2012 Wiley Periodicals, Inc.