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NetworksAn Introduction$
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Mark Newman

Print publication date: 2010

Print ISBN-13: 9780199206650

Published to Oxford Scholarship Online: September 2010

DOI: 10.1093/acprof:oso/9780199206650.001.0001

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Models of network formation

Models of network formation

A discussion of models of the formation of networks, particularly models of networks that grow by addition of vertices, such as the World Wide Web or citation networks

(p.486) Chapter 14 Models of network formation

M. E. J. Newman

Oxford University Press

Generative network models model the mechanisms by which networks are created. The idea behind models such as these is to explore hypothesized generative mechanisms to see what structures they produce. If the structures are similar to those of networks observed in the real world, this suggests — though does not prove — that similar generative mechanisms may be at work in the real networks. This chapter examines the best-known example of a generative network model: the ‘preferential attachment’ model for the growth of networks with power-law degree distributions. Exercises are provided at the end of the chapter.

Keywords:   generative network models, preferential attachment model, network growth, power law

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