connections between network topology and network security

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1、ConnectionsBetweenNetworkTopologyandNetworkSecurityNilsKalstadSvendsenGjvikUniversityCollegeemail:nilss@hig.noAbstract.ThispaperistheprojectproposalforaPh.DthesisatGjvikUniverstityCollege.Basedontheresentadvancedingraphtheoryandstud-iesofcomplexnetworkswewanttoemphasise

2、theconnectionbetweennetworktopologyandrisksinthenetwork.Todaynetworksecurityfocusesonsinglemachinesinglesessionsecurity.Wehopetoshowthatthisapproachismiss-ingthecrucialfactthatallmachinesarepartofalarge,dynamic,complexnetwork.Thismightimplythatmanymeasurestakentodayareine

3、ective.Thetheoryofheavytaileddistributioneliminatestosomeextentthenitesizecut-oeectfromthemodelsandincludesobservationsthatbyprevi-ousmodelshasbeenconsideredasextremalobservationsoroutliers.Possiblepathsforourproject,dependingonourndingsare:Networkdependability,epide

4、miologyinnetworks,redundancystrategiesinnetworksandriskman-agementinnetworks.Contents1.Introduction11.1.Graphtheory21.2.Networkmodelling61.3.Networksecurity72.Ourapproachtonetworksecurity93.Engagement10References101.IntroductionIn1998DuncanWattsandStevenStrogatzpublishedt

5、hearticleThecollectivedynamicsofsmallworldnetworks"inNature[15].ThisarticlewastherstinaseriesofarticlesdescribinghowclassicalErd•os-Reynirandomgraphs(describedamongothersinBollobsin[5])doesnottwiththestructureofrealwordnet-worksandproposingmoresuitablemodels.Theworko

6、fWattsandStrogatzwerebasedonanalysesofsocialnetworks,butitdidn'ttakelongbeforelargetechni-calnetworkswereanalysed.In1999theFaloutsosbrotherspublishedanarticleonthetopologyoftheInternet[9]statingthattheconnectivityofroutersand12switchesofInternetsatisesasocalledpower-lawd

7、istribution.Abreakthroughcamein1999withthearticleofBarabasiandAlbertproposingamodelforhownetworkswithpower-lawconnectivitydistributioncanbegrownandhowalsopagesontheWWWsatisesthismodel.Wewanttoclarifyanddescribewhatimpactthisnewunderstandingofnetworkshasoninformationsecu

8、rity.1.1.Graphtheory.Networksarenormallymodelledasgraphs.Agraphcon-sistsofNofnodesandLedgesconne