Modelling aging characteristics in citation networks

Growing network models with preferential attachment dependent oil both age and degree are proposed to simulate certain features of citation network noted in [Redner, arXiv: physics/0407137 (2004)]. In this directed network, a new node gets attached to an older node with the probability similar to K(k)f(t) where the degree and age of the older node are k and t. respectively. Several functional forms of K(k) and f(t) have been considered. The desirable features of the citation network can be reproduced with K(k)similar to k(-beta) and f(t)similar to exp(alpha t) with beta = 2.0 and alpha = -0.2 and with simple modifications in the growth scheme. (c) 2006 Elsevier B.V. All rights reserved.