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Small worlds


Barbour, A D; Reinert, G (2001). Small worlds. Random Structures & Algorithms, 19(1):54-74.

Abstract

Small world models are networks consisting of many local links and fewer long range shortcuts. In this paper, we consider some particular instances, and rigorously investigate the distribution of their inter-point network distances. Our results are framed in terms of approximations, whose accuracy increases with the size of the network. We also give some insight into how the reduction in typical inter-point distances occasioned by the presence of shortcuts is related to the dimension of the underlying space. © 2001 John Wiley & Sons, Inc. Random Struct. Alg., 19, 54-74, 2001

Abstract

Small world models are networks consisting of many local links and fewer long range shortcuts. In this paper, we consider some particular instances, and rigorously investigate the distribution of their inter-point network distances. Our results are framed in terms of approximations, whose accuracy increases with the size of the network. We also give some insight into how the reduction in typical inter-point distances occasioned by the presence of shortcuts is related to the dimension of the underlying space. © 2001 John Wiley & Sons, Inc. Random Struct. Alg., 19, 54-74, 2001

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:2001
Deposited On:04 Mar 2010 14:32
Last Modified:21 Nov 2017 14:22
Publisher:Wiley-Blackwell
ISSN:1042-9832
Publisher DOI:https://doi.org/10.1002/rsa.1018
Related URLs:https://www.zora.uzh.ch/21769/

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