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Hypergraph topological quantities for tagged social networks

Zlatic, Vinko and Ghoshal, Gourab and Caldarelli, Guido Hypergraph topological quantities for tagged social networks. Physical Review E, 80 (3). ISSN 1539-3755 (2009)

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Recent years have witnessed the emergence of a new class of social networks, which require us to move beyond previously employed representations of complex graph structures. A notable example is that of the folksonomy, an online process where users collaboratively employ tags to resources to impart structure to an otherwise undifferentiated database. In a recent paper, we proposed a mathematical model that represents these structures as tripartite hypergraphs and defined basic topological quantities of interest. In this paper, we extend our model by defining additional quantities such as edge distributions, vertex similarity and correlations as well as clustering. We then empirically measure these quantities on two real life folksonomies, the popular online photo sharing site Flickr and the bookmarking site CiteULike. We find that these systems share similar qualitative features with the majority of complex networks that have been previously studied. We propose that the quantities and methodology described here can be used as a standard tool in measuring the structure of tagged networks.

Item Type: Article
Identification Number: 10.1103/PhysRevE.80.036118
Additional Information: © 2009 American Physical Society
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 13:53
Last Modified: 18 Dec 2014 15:35
URI: http://eprints.imtlucca.it/id/eprint/1084

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