Generalized preferential attachment considering aging |
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| Institution: | 1. Department of Information Engineering, The Chinese University of Hong Kong, Hong Kong;2. Advanced Digital Sciences Center, Illinois at Singapore Pte. Ltd., Singapore;1. CNRS (LAMSADE, UMR 7243) & Université Paris Dauphine, Place du Maréchal de Lattre de Tassigny, F-75775 Paris Cedex 16, France;2. Ghent University, Department of Data Analysis, H. Dunantlaan, 1, B-9000 Gent, Belgium;1. School of Management, Harbin Institute of Technology, Harbin 150001, PR China;2. Dipartimento Di Economia Politica E Statistica, Università Di Siena, Siena 53100, Italy;3. School of Software, Harbin Institute of Technology, Harbin 150001, PR China |
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| Abstract: | Preferential Attachment (PA) models the scientific citation process. In the PA model, a new paper attaches itself to the citation network based only on the popularity of the currently existing papers. This invariably leads to a network whose degree distribution satisfies the Power Law. Yet, empirical results show that paper age should also play a role in the citation process. In other words, when references are chosen for a new paper, the age of an existing paper may also affect the choice for citing. In this paper, we derive a generalized PA model that includes the effect of aging, with analytical solution. Such a model can be used to analyze the competing influence of preferential attachment and aging effect quantitatively in citation process and explain differences in various research domains by the extent of aging. It may also serve as a general model of network formation. |
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| Keywords: | Preferential attachment Aging effect Citation network |
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