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Modelling aging characteristics in citation networks

Growing 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 (...

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Bibliographic Details
Published in:Physica A 2006-08, Vol.368 (2), p.575-582
Main Authors: Hajra, Kamalika Basu, Sen, Parongama
Format: Article
Language:English
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Summary:Growing 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 - β and f ( t ) ∼ exp ( α t ) with β = 2.0 and α = - 0.2 and with simple modifications in the growth scheme.
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2005.12.044