a_local-world_evolving_network_model

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1、Availableonlineatwww.sciencedirect.comPhysicaA328(2003)274–286www.elsevier.com/locate/physaAlocal-worldevolvingnetworkmodelXiangLia;b,GuanrongChenb;∗aDepartmentofAutomation,ShanghaiJiaotongUniversity,Shanghai200030,People’sRepublicofChinabDepartmentofElectronic

2、Engineering,CityUniversityofHongKong,People’sRepublicofChinaReceived8January2003;receivedinrevisedform26May2003AbstractWeproposeandstudyanovelevolvingnetworkmodelwiththenewconceptoflocal-worldconnectivity,whichexistsinmanyphysicalcomplexnetworks.Thelocal-worlde

3、volvingnetworkmodelrepresentsatransitionbetweenpower-lawandexponentialscaling,whiletheBarab3asi–Albertscale-freemodelisonlyoneofitsspecial(limiting)cases.Wefoundthatthislocal-worldevolvingnetworkmodelcanmaintaintherobustnessofscale-freenetworksandcanimprovethen

4、etworkrelianceagainstintentionalattacks,whichistheinherentfragilityofmostscale-freenetworks.c2003ElsevierB.V.Allrightsreserved.Keywords:Local-world;Scale-free;Exponentialscaling;Synchronizability;Robustness1.IntroductionWhatacomplexnetwork!Whileweareconfrontin

5、gtheInternetandWorldWideWeb,whicharestillexpandinginanacceleratedgrowthspeed,itisthenaturalreactionthatweusuallyhave.Infact,weliveinaseaofcomplexnetworks:thetelecommuni-cationhub-likenetwork,theaircraftweb-linklines,the;ourishedscienti

6、hainsintheecosystem,andeventheprotein–proteininteractionnettingsinsideourbodies.Howtomodelsuchcomplexnetworks?The

7、thegraphthe-orydevelopedforcenturies,ErdDosandR3enyibuilttheirpowerfulrandomgraphtheory∗Correspondenceauthor.CentreforChaosControlandSynchronization,Dept.ofElectronicEngineering,CityUniversityofHongKong,83TatCheeAvenue,Kowloon,HongKongSAR,People’sRepublicofChin

8、a.Fax:+852-2788-7791.E-mailaddresses:xli@ee.cityu.edu.hk(X.Li),gchen@ee.cityu.edu.hk(G.Chen).0378-4371/$-seefrontmatter
c2003ElsevierB.V.Allrightsreserved.doi:10.1016/S0378-