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Permanent URL to this publication: http://dx.doi.org/10.5167/uzh-21593

Barbour, A D; Reinert, G (2006). Discrete small world networks. Electronic Journal of Probability, 11(47):1234-1283.

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Abstract

Small world models are networks consisting of many local links and fewer long range `shortcuts', used to model networks with a high degree of local clustering but relatively small diameter. Here, we concern ourselves with the distribution of typical inter-point network distances. We establish approximations to the distribution of the graph distance in a discrete ring network with extra random links, and compare the results to those for simpler models, in which the extra links have zero length and the ring is continuous.

Citations

3 citations in Web of Science®
4 citations in Scopus®
Google Scholar™

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30 downloads since deposited on 16 Nov 2009
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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
DDC:510 Mathematics
Language:English
Date:15 December 2006
Deposited On:16 Nov 2009 20:56
Last Modified:27 Nov 2013 23:19
Publisher:Institute of Mathematical Statistics
ISSN:1083-6489
Official URL:http://www.emis.de/journals/EJP-ECP/_ejpecp/viewarticle7f1a.html?id=1660
Related URLs:http://www.math.washington.edu/~ejpecp/
http://arxiv.org/abs/cond-mat/0304020

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