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The evolution and structure of social networks

Published online by Cambridge University Press:  12 December 2014

WHITMAN RICHARDS  and
NICHOLAS WORMALD
WHITMAN RICHARDS
Affiliation:
CSAIL- 32-364, Mass. Inst. of Technology, Cambridge, MA 02139, USA (e-mail: [email protected])
NICHOLAS WORMALD
Affiliation:
School of Mathematical Sciences, Monash University, Clayton VIC 3149, Australia (e-mail: [email protected])
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Abstract

As social networks evolve, new nodes are linked to the large-scale organization already in place. We show that the combination of two simple algorithms, one the Barabasi-Albert preferential attachment proposal and the other a neighbor attachment rule, successfully generate networks exhibiting both the local and global characteristics of empirical data on social network structures. Ideally, one might hope that some coarse features of this linking process and the form of the local patterns might enable the prediction of large-scale properties. We show that this is generally not the case. This might help explain the variety of local and global patterns in empirical networks.

Keywords

network evolutionpreferential attachmentsocial networksdegree distributions
Type
Research Article
Information
Network Science , Volume 2 , Issue 3 , December 2014 , pp. 326 - 340
Copyright
Copyright © Cambridge University Press 2014 

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