Title
Emergence Of Soft Communities From Geometric Preferential Attachment
Abstract
All real networks are different, but many have some structural properties in common. There seems to be no consensus on what the most common properties are, but scale-free degree distributions, strong clustering, and community structure are frequently mentioned without question. Surprisingly, there exists no simple generative mechanism explaining all the three properties at once in growing networks. Here we show how latent network geometry coupled with preferential attachment of nodes to this geometry fills this gap. We call this mechanism geometric preferential attachment (GPA), and validate it against the Internet. GPA gives rise to soft communities that provide a different perspective on the community structure in networks. The connections between GPA and cosmological models, including inflation, are also discussed.
Year
DOI
Venue
2015
10.1038/srep09421
SCIENTIFIC REPORTS
Keywords
Field
DocType
applied mathematics,statistics,complex networks,nonlinear phenomena
Community structure,Existential quantification,Computer science,Theoretical computer science,Artificial intelligence,Generative grammar,Cluster analysis,Inflation,Preferential attachment,Network geometry,The Internet
Journal
Volume
Issue
ISSN
5
1
2045-2322
Citations 
PageRank 
References 
10
0.67
6
Authors
4
Name
Order
Citations
PageRank
Konstantin Zuev1132.09
Marián Boguñá2100.67
Ginestra Bianconi335713.32
Dmitri V. Krioukov4423.91