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Article: Weighted assortative and disassortative networks model
Title | Weighted assortative and disassortative networks model |
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Authors | |
Keywords | Assortative and disassortative networks Clustering Evolving weighted network Mean field approximation Weighted assortativity coefficient |
Issue Date | 2007 |
Publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/physa |
Citation | Physica A: Statistical Mechanics And Its Applications, 2007, v. 378 n. 2, p. 591-602 How to Cite? |
Abstract | Real-world networks process structured connections since they have non-trivial vertex degree correlation and clustering. Here we propose a toy model of structure formation in real-world weighted network. In our model, a network evolves by topological growth as well as by weight change. In addition, we introduce the weighted assortativity coefficient, which generalizes the assortativity coefficient of a topological network, to measure the tendency of having a high-weighted link between two vertices of similar degrees. Network generated by our model exhibits scale-free behavior with a tunable exponent. Besides, a few non-trivial features found in real-world networks are reproduced by varying the parameter ruling the speed of weight evolution. Most importantly, by studying the weighted assortativity coefficient, we found that both topologically assortative and disassortative networks generated by our model are in fact weighted assortative. © 2007 Elsevier B.V. All rights reserved. |
Persistent Identifier | http://hdl.handle.net/10722/80460 |
ISSN | 2023 Impact Factor: 2.8 2023 SCImago Journal Rankings: 0.661 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
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dc.contributor.author | Leung, CC | en_HK |
dc.contributor.author | Chau, HF | en_HK |
dc.date.accessioned | 2010-09-06T08:06:42Z | - |
dc.date.available | 2010-09-06T08:06:42Z | - |
dc.date.issued | 2007 | en_HK |
dc.identifier.citation | Physica A: Statistical Mechanics And Its Applications, 2007, v. 378 n. 2, p. 591-602 | en_HK |
dc.identifier.issn | 0378-4371 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/80460 | - |
dc.description.abstract | Real-world networks process structured connections since they have non-trivial vertex degree correlation and clustering. Here we propose a toy model of structure formation in real-world weighted network. In our model, a network evolves by topological growth as well as by weight change. In addition, we introduce the weighted assortativity coefficient, which generalizes the assortativity coefficient of a topological network, to measure the tendency of having a high-weighted link between two vertices of similar degrees. Network generated by our model exhibits scale-free behavior with a tunable exponent. Besides, a few non-trivial features found in real-world networks are reproduced by varying the parameter ruling the speed of weight evolution. Most importantly, by studying the weighted assortativity coefficient, we found that both topologically assortative and disassortative networks generated by our model are in fact weighted assortative. © 2007 Elsevier B.V. All rights reserved. | en_HK |
dc.language | eng | en_HK |
dc.publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/physa | en_HK |
dc.relation.ispartof | Physica A: Statistical Mechanics and its Applications | en_HK |
dc.rights | Physica A: Statistical Mechanics and its Applications. Copyright © Elsevier BV. | en_HK |
dc.subject | Assortative and disassortative networks | en_HK |
dc.subject | Clustering | en_HK |
dc.subject | Evolving weighted network | en_HK |
dc.subject | Mean field approximation | en_HK |
dc.subject | Weighted assortativity coefficient | en_HK |
dc.title | Weighted assortative and disassortative networks model | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0378-4371&volume=378&spage=591&epage=602&date=2007&atitle=Weighted+assortative+and+disassortative+networks+model | en_HK |
dc.identifier.email | Chau, HF: hfchau@hku.hk | en_HK |
dc.identifier.authority | Chau, HF=rp00669 | en_HK |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1016/j.physa.2006.12.022 | en_HK |
dc.identifier.scopus | eid_2-s2.0-33847657629 | en_HK |
dc.identifier.hkuros | 126278 | en_HK |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-33847657629&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 378 | en_HK |
dc.identifier.issue | 2 | en_HK |
dc.identifier.spage | 591 | en_HK |
dc.identifier.epage | 602 | en_HK |
dc.identifier.eissn | 1873-2119 | - |
dc.identifier.isi | WOS:000245531100042 | - |
dc.publisher.place | Netherlands | en_HK |
dc.identifier.scopusauthorid | Leung, CC=36725507200 | en_HK |
dc.identifier.scopusauthorid | Chau, HF=7005742276 | en_HK |
dc.identifier.issnl | 0378-4371 | - |