Abstract | ||
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We introduce a new geometric, rank-based model for the link structure of on-line social networks (OSNs). In the geo-protean (GEO-P) model for OSNs nodes are identified with points in Euclidean space, and edges are stochastically generated by a mixture of the relative distance of nodes and a ranking function. With high probability, the GEO-P model generates graphs satisfying many observed properties of OSNs, such as power law degree distributions, the small world property, densification power law, and had spectral expansion. We introduce the dimension of an OSN based on our model, and examine this new parameter using actual OSN data. |
Year | DOI | Venue |
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2010 | 10.1007/978-3-642-18009-5_11 | ALGORITHMS AND MODELS FOR THE WEB GRAPH |
Keywords | Field | DocType |
degree distribution,social network,euclidean space,power law,satisfiability | Graph,Discrete mathematics,Combinatorics,Social network,Ranking,Computer science,Euclidean space,Degree distribution,Spectral expansion,Power law | Conference |
Volume | ISSN | Citations |
6516 | 0302-9743 | 7 |
PageRank | References | Authors |
0.66 | 15 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Anthony Bonato | 1 | 156 | 18.57 |
Jeannette Janssen | 2 | 295 | 32.23 |
Pawel Pralat | 3 | 234 | 48.16 |