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Cited by 3,087

The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.

Mixing patterns in networks

Open access
Newman, M. E. J.·2003·Physical Review E
DOI 10.1103/physreve.67.026126
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Abstract

We study assortative mixing in networks, the tendency for vertices in networks to be connected to other vertices that are like (or unlike) them in some way. We consider mixing according to discrete characteristics such as language or race in social networks and scalar characteristics such as age. As a special example of the latter we consider mixing according to vertex degree, i.e., according to the number of connections vertices have to other vertices: do gregarious people tend to associate with other gregarious people? We propose a number of measures of assortative mixing appropriate to the various mixing types, and apply them to a variety of real-world networks, showing that assortative mixing is a pervasive phenomenon found in many networks. We also propose several models of assortatively mixed networks, both analytic ones based on generating function methods, and numerical ones based on Monte Carlo graph generation techniques. We use these models to probe the properties of networks as their level of assortativity is varied. In the particular case of mixing by degree, we find strong variation with assortativity in the connectivity of the network and in the resilience of the network to the removal of vertices.

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Metadata

Authors
Newman, M. E. J.
Venue
Physical Review E
Publisher
American Physical Society (APS)
Published
2003-02-27
Volume
67
Issue
2
Pages
026126-026126
ISSN
  • 1063-651X (ISSN-L)
  • 1095-3787
DOI
10.1103/physreve.67.026126
OpenAlex
W2033193852
Cited by
3,087
References
5
FWCI
35.05
Type
journal article
Language
en
Open access
green

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

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