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1、Eur.Phys.J.B77,493–498(2010)THEEUROPEANDOI:10.1140/epjb/e2010-00297-8PHYSICALJOURNALBRegularArticleEvolvinghypernetworkmodelJian-WeiWang1,2,Li-LiRong2,Qiu-HongDeng2,andJi-YongZhang21SchoolofBusinessAdministration,NortheasternUniversity,Shenyang110004
2、,P.R.China2InstituteofSystemsEngineering,DalianUniversityofTechnology,Dalian116024,P.R.ChinaReceived27March2010/Receivedinfinalform24June2010Publishedonline6October2010–cEDPSciences,Societ`aItalianadiFisica,Springer-Verlag2010Abstract.Complexhypernet
3、worksareubiquitousinreal-lifesystems.Whileasubstantialbodyofpreviousresearchhasonlyfocusedontheapplicationsofhypernetworks,relativelylittleworkhasinvestigatedtheevolvingmodelsofhypernetworks.Consideringtheformationsofmanyrealworldnetworks,weproposetw
4、oevolvingmechanismsofthehyperedgegrowthandthehyperedgepreferentialattachment,thenconstructanevolvinghypernetworkmodel.Weintroducesomebasictopologicalquantities,suchasavarietyofdegreedistributions,clusteringcoefficientsaswellasaveragepathlength.Wenumeri
5、callyinvestigatethesequantitiesinthelimitoflargehypernetworksizeandfindthatourhypernetworkmodelsharessimilarqualitativefeatureswiththemajorityofcomplexnetworksthathavebeenpreviouslystudied,suchasthescale-freepropertyofthedegreedistributionandahighdegr
6、eeofclustering,aswellasthesmall-worldproperty.Itisexpectedthatourattemptinthehypernetworkmodelcanbringtheupsurgeinthestudyofthehypernetworkmodelinfurther.1Introductionnodesislost,becausewehavecertainnodesthatrepresentpapersandothersthatrepresentautho
7、rs.Andmanyre-Complexnetworks[1–5]candescribeanumberofsys-searchmethodstocomplexnetworks,suchasnetworkcon-temsinnatureandsociety,suchasInternet[6],Worldnectivity,clusteringcoefficient,degreedistribution,andsoWideWeb[7],metabolicnetworks[8],proteinnetwor
8、kson,cannotbeappliedowingtodifferentexplanationsofinthecell[9],co-authornetworks[10]andsexualnet-twokindsofnodes.Additionally,someothernetworks,forworks[11].Overthepastdecade,theupsurgeinthestudyexamplethefolksonomyinonlinecommunities[19,20],aofcomple
