Title
A geometric model for on-line social networks
Abstract
We study the link structure of on-line social networks (OSNs), and introduce a new model for such networks which may help infer their hidden underlying reality. 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 bad spectral expansion. We introduce the dimension of an OSN based on our model, and examine this new parameter using actual OSN data. We discuss how the dimension parameter of an OSN may eventually be used as a tool to group users with similar attributes using only the link structure of the network.
Year
DOI
Venue
2010
10.1145/1835980.1835984
#MSM
Keywords
DocType
Citations 
geometric model,dimension parameter,on-line social network,actual osn data,osns node,link structure,new model,power law degree distribution,new parameter,densification power law,euclidean space,geo-p model
Conference
12
PageRank 
References 
Authors
0.91
13
3
Name
Order
Citations
PageRank
Anthony Bonato1120.91
Jeannette Janssen229532.23
Paweł Prałat316216.57