Title
The Geometric Protean Model for On-Line Social Networks
Abstract
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
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 Bonato115618.57
Jeannette Janssen229532.23
Pawel Pralat323448.16