Power-law weighted networks from local attachments

Details Power-law weighted networks from local attachments Power-law weighted networks from local attachments

2011-10-04

arxiv.org/abs/1110.0751v4

Physics

Physics and Society

8 pages, 5 figures; Proceedings of the IEEE Conference on Decision and Control and the European Control Conference, Orlando, F

Scientific paper

Large networks arise by the gradual addition of nodes attaching to an existing and evolving component. There are a wide class of attachment strategies that lead to distinct structural features in growing networks. This letter introduces a mechanism for constructing, through a process of distributed decision-making, substrates for the study of collective dynamics on extended power-law weighted networks with both a desired scaling exponent and a fixed clustering coefficient. The analytical results show that the connectivity distribution converges to the scaling behavior often found in social and engineering systems. To illustrate the approach of the proposed framework we generate network substrates that resemble the empirical citation distributions of (i) publications indexed by the Institute for Scientific Information from 1981 to 1997; (ii) patents granted by the U.S. Patent and Trademark Office from 1975 to 1999; and (iii) opinions written by the Supreme Court and the cases they cite from 1754 to 2002.

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