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Reference: Massen, CP and Doye, JPK, (2005). A self-consistent approach to measure preferential attachment in networks and its application to an inherent structure network. Physica A, 377 (1), 351-362.Citable link to this page:

 

A self-consistent approach to measure preferential attachment in networks and its application to an inherent structure network

Abstract: Preferential attachment is one possible way to obtain a scale-free network. We develop a self-consistent method to determine whether preferential attachment occurs during the growth of a network, and to extract the preferential attachment rule using time-dependent data. Model networks are grown with known preferential attachment rules to test the method, which is seen to be robust. The method is then applied to a scale-free inherent structure network, which represents the connections between minima via transition states on a potential energy landscape. Even though this network is static, we can examine the growth of the network as a function of a threshold energy (rather than time), where only those transition states with energies lower than the threshold energy contribute to the network.For these networks we are able to detect the presence of preferential attachment, and this helps to explain the ubiquity of funnels on energy landscapes. However, the scale-free degree distribution shows some differences from that of a model network grown using the obtained preferential attachment rules, implying that other factors are also important in the growth process.

Peer Review status:Peer reviewedPublication status:PublishedVersion:Accepted Manuscript Funder: Engineering and Physical Sciences Research Council   Funder: Royal Society   Notes:Copyright 2006 Elsevier B.V. All rights reserved. NOTICE: this is the author's version of a work that was accepted for publication in Physica A: Statistical Mechanics and its Applications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Physica A: Statistical Mechanics and its Applications, Volume 377, Issue 1, 1 April 2007, Pages 351-362, 10.1016/j.physa.2006.11.007

Bibliographic Details

Publisher: Elsevier

Publisher Website: http://www.elsevier.com/

Journal: Physica Asee more from them

Publication Website: http://www.journals.elsevier.com/physica-a-statistical-mechanics-and-its-applications

Issue Date: 2005-12-6

pages:351-362Identifiers

Urn: uuid:1b5a2c1b-25c7-4077-a828-1dd47785b6f1

Source identifier: 40206

Doi: https://doi.org/10.1016/j.physa.2006.11.007

Issn: 0378-4371 Item Description

Type: Journal article;

Language: eng

Version: Accepted ManuscriptKeywords: cond-mat.stat-mech cond-mat.stat-mech Tiny URL: pubs:40206

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Autor: Massen, CP - - - Doye, JPK - institutionUniversity of Oxford Oxford, MPLS, Chemistry, Physical and Theoretical Chem fundingRoyal

Fuente: https://ora.ox.ac.uk/objects/uuid:1b5a2c1b-25c7-4077-a828-1dd47785b6f1



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