Modelling aging characteristics in citation networksPhysica A: Statistical Mechanics and its Applications, Vol. 368, No. 2. (15 August 2006), pp. 575-582.
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AbstractGrowing network models with preferential attachment dependent on 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 ~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)~k-[beta] and f(t)~exp([alpha]t) with [beta]=2.0 and [alpha]=-0.2 and with simple modifications in the growth scheme.
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