Line graphs as social networks |
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Authors: | M.J. Krawczyk |
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Affiliation: | a Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, al. Mickiewicza 30, PL-30059 Kraków, Polandb Information, Operations and Management Systems Department, Stern School of Business at the New York University, 44 West Fourth Street New York, NY 10012, USA |
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Abstract: | It was demonstrated recently that the line graphs are clustered and assortative. These topological features are known to characterize some social networks [M.E.J. Newman, Y. Park, Why social networks are different from other types of networks, Phys. Rev. E 68 (2003) 036122]; it was argued that this similarity reveals their cliquey character. In the model proposed here, a social network is the line graph of an initial network of families, communities, interest groups, school classes and small companies. These groups play the role of nodes, and individuals are represented by links between these nodes. The picture is supported by the data on the LiveJournal network of about 8×106 people. |
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Keywords: | Social networks Scale-free networks |
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