Mathematical evolution in discrete networks

dc.contributor.authorPfaltz, John F.
dc.coverage.issue2cs
dc.coverage.volume2cs
dc.date.accessioned2014-03-13T11:38:23Z
dc.date.available2014-03-13T11:38:23Z
dc.date.issued2013cs
dc.description.abstractThis paper provides a mathematical explanation for the phenomenon of \triadic closure" so often seen in social networks. It appears to be a natural consequence when network change is constrained to be continuous. The concept of chordless cycles in the network's \irreducible spine" is used in the analysis of the network's dynamic behavior. A surprising result is that as networks undergo random, but continuous, perturbations they tend to become more structured and less chaotic.en
dc.formattextcs
dc.format.extent153-167cs
dc.format.mimetypeapplication/pdfen
dc.identifier.citationMathematics for Applications. 2013, 2, č. 2, s. 153-167. ISSN 1805-3629.cs
dc.identifier.doi10.13164/ma.2013.12en
dc.identifier.issn1805-3629
dc.identifier.urihttp://hdl.handle.net/11012/28549
dc.language.isoencs
dc.publisherVysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematikycs
dc.relation.ispartofMathematics for Applicationsen
dc.relation.urihttp://ma.fme.vutbr.cz/archiv/2_2/ma_2_2_pfaltz_final.pdfcs
dc.rights© Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematikycs
dc.rights.accessopenAccessen
dc.titleMathematical evolution in discrete networkscs
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
eprints.affiliatedInstitution.departmentÚstav matematikycs
eprints.affiliatedInstitution.facultyFakulta strojního inženýrstvícs
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