Analysis of reference and citation copying in evolving bibliographic networks |
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| Institution: | 1. Department of Computer Science and Engineering, IIT Roorkee, India;2. Department of Computer Science and Engineering, IIT Gandhinagar, India;3. Department of Computer Science and Engineering, IIT Kharagpur, India;4. Department of Computer Science and Engineering, IIT Bombay, India;1. Institute for Advanced Social Studies (IESA-CSIC), Córdoba, Spain;2. Joint Research Unit Knowledge Transfer and Innovation, (UCO-CSIC), Córdoba, Spain;1. International Joint Informatics Laboratory (IJIL), Nanjing University, Nanjing, 210023, China;2. International Joint Informatics Laboratory (IJIL), University of Illinois, Champaign, United States;3. Jiangsu Key Laboratory of Data Engineering and Knowledge Service, School of Information Management, Nanjing University, Nanjing, 210023, China;1. Laboratory for Studies of Research and Technology Transfer, Institute for System Analysis and Computer Science (IASI-CNR), National Research Council of Italy, Viale Manzoni 30, 00185 Rome, Italy;2. Department of Engineering and Management, University of Rome “Tor Vergata”, Via del Politecnico 1, 00133 Rome, Italy;1. Department of Information Management, Nanjing University of Science and Technology, Nanjing, China;2. Department of Network and New Media, Nanjing Normal University, Nanjing, China |
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| Abstract: | Extensive literature demonstrates how the copying of references (links) can lead to the emergence of various structural properties (e.g., power-law degree distribution and bipartite cores) in bibliographic and other similar directed networks. However, it is also well known that the copying process is incapable of mimicking the number of directed triangles in such networks; neither does it have the power to explain the obsolescence of older papers. In this paper, we propose RefOrCite, a new model that allows for copying of both the references from (i.e., out-neighbors of) as well as the citations to (i.e., in-neighbors of) an existing node. In contrast, the standard copying model (CP) only copies references. While retaining its spirit, RefOrCite differs from the Forest Fire (FF) model in ways that makes RefOrCite amenable to mean-field analysis for degree distribution, triangle count, and densification. Empirically, RefOrCite gives the best overall agreement with observed degree distribution, triangle count, diameter, h-index, and the growth of citations to newer papers. |
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| Keywords: | Citation network Preferential attachment Growth models |
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