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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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PRINTED FROM OXFORD SCHOLARSHIP ONLINE (oxford.universitypressscholarship.com). (c) Copyright Oxford University Press, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 15 January 2021

Random graphs

Random graphs

An introduction to the most basic of network models, the random graph

(p.397) Chapter 12 Random graphs

M. E. J. Newman

Oxford University Press

This chapter discusses the basic mathematics of the random graph G(n, p), focusing particularly on the degree distribution and component sizes, which are two of the model's most illuminating characteristics. The techniques developed in this chapter prove useful for some of the more complex models examined later in the book. Exercises are provided at the end of the chapter.

Keywords:   network models, random graphs, degree, clustering coefficient, path lengths, component sizes

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