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Community structure in social and biological networks

Community structure in social and biological networks M. Girvan* and M. E. J. Newman* . *Santa Fe Institute, 1399 Hyde Park Road, Santa Fe, NM 87501; Department of Physics, Cornell University, Clark Hall, Ithaca, NY 14853-2501; and Department of Physics, University of Michigan, Ann Arbor, MI 48109-1120. Edited by Lawrence A. Shepp, Rutgers, State University of New Jersey New Brunswick, Piscataway, NJ, and approved April 6, 2002 (received for review December 6, 2001). A number of recent studies have focused on the statistical prop- In this article, we consider another property, which, as we will erties of networked systems such as social networks and the show, appears to be common to many networks , the property of Worldwide Web. Researchers have concentrated particularly on a Community structure . (This property is also sometimes called few properties that seem to be common to many networks : the clustering, but we refrain from this usage to avoid confusion with small-world property, power-law degree distributions, and net- the other meaning of the word clustering introduced in the work transitivity.)

Community structure in social and biological networks M. Girvan*†‡ and M. E. J. Newman*§ *Santa Fe Institute, 1399 Hyde Park Road, Santa Fe, NM 87501; †Department of Physics, Cornell University, Clark Hall, Ithaca, NY 14853-2501; and §Department of Physics, University of Michigan, Ann Arbor, MI 48109-1120 Edited by Lawrence A. Shepp, Rutgers, State University …

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