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Random hypergraphs and their applications

Ghoshal, Gourab and Zlatic, Vinko and Caldarelli, Guido and Newman, M.E.J. Random hypergraphs and their applications. Physical Review E, 79 (6). ISSN 1539-3755 (2009)

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In the last few years we have witnessed the emergence, primarily in online communities, of new types of social networks that require for their representation more complex graph structures than have been employed in the past. One example is the folksonomy, a tripartite structure of users, resources, and tags—labels collaboratively applied by the users to the resources in order to impart meaningful structure on an otherwise undifferentiated database. Here we propose a mathematical model of such tripartite structures that represents them as random hypergraphs. We show that it is possible to calculate many properties of this model exactly in the limit of large network size and we compare the results against observations of a real folksonomy, that of the online photography website Flickr. We show that in some cases the model matches the properties of the observed network well, while in others there are significant differences, which we find to be attributable to the practice of multiple tagging, i.e., the application by a single user of many tags to one resource or one tag to many resources

Item Type: Article
Identification Number: 10.1103/PhysRevE.79.066118
Additional Information: © 2009 American Physical Society
Uncontrolled Keywords: PACS: 89.75.Fb, 89.75.Hc, 89.20.Hh, 05.65.+b
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Q Science > QC Physics
Research Area: Economics and Institutional Change
Depositing User: Ms T. Iannizzi
Date Deposited: 26 Jan 2012 14:09
Last Modified: 18 Dec 2014 15:37
URI: http://eprints.imtlucca.it/id/eprint/1085

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