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¢£¥¤¥¦¥§¥¨¥©¥ ¥¥ 33¡7Vol.33,No.7  2013 7SystemsEngineering|Theory&PracticeJuly,2013  :1000-6788(2013)07-1898-07:TP31;N949:A !"#$%&')()*+ ,.-./ 5674848 ,02143,, MN (9:<;=>@?BACDEFGH@I<JK@L,410073) OPRQTSVUXWTYVZX[T\V]X^X_X`\V]X^XWTYTegfXhXiXjXkXlSsUTtXurvVw dnmporq ,aXbXcXd uVWTYX\V]X~X_X`XT€VQXr‚Xƒ„SVU„…V†~X‰XŠxXŒ‹VXSVUXŽTXvV xXyTzV{ ‡XˆXb ,|X},. uVWTYX\V]X~X_X`XT€T€V”WTYVQTSVUŒ‹V•V–X—TuV˜X™XšX_X`XWTYXuX\V]X~ “’› aXbX‘X’,, œŒgTvVwXWTYXuVžXŸT…XV¡TSVUX¢X£Œ‹V•V–X—X¤X¥ WTYV§X¨T\V]WTYX\V]X~X§ ©XªX¦X“ ,¦X“, T€XuX¬X­~XiŸX®X¯T°V±X²TuV³X´XµX¶X·X¸®XºX»T¼X½T€Xu «3 oXq‘X¹“ .“O(n),O(n), ^…V¿XÀ~•VÁXÂX‚XÃXÄTSVU ˆXba }X¾,,. ÅXÆXÇÈSVUWTYX\V]X~‹VXSVU‹V•V–X— ;;; Fastmethodfornodeimportanceevaluationinnetwork XIAOWei-dong,TANWen-tang,GEBin,LIFang-fang (KeyLaboratoryofInformationSystemEngineering,NationalUniversityofDefenseTechnology,Changsha410073,China) AbstractNodeimportanceevaluationisoneoftheimportantnetworkanalysesincomplexnetworkand datamining.Howevermostoftheexistingmethodsarecomplexandslowforlargenetworks.Inthis paper,apracticalmethodbasedonresistivenetworkforfastnodeimportanceevaluationwasproposed. Nodeimportancewasevaluatedbasedonitsinfluenceontheaveragepowerdissipationinaresistance network,anodewasimportantbecauseitreducedtheaverageenergydissipationofthenetwork.The timecomplexityofthealgorithmisO(n3)intheworstsituation,andisO(n)inthedistributedcomputing environment.Experimentalresultstestifythatthealgorithmisefficientandeffective. Keywordsnetwork;nodeimportance;resistivenetwork;powerdissipation 1ÉËÊ ÌXÍXÎXÏXÐXÑXÒXÓTÔVÕXÖX×XØXÙXÚXÛXÜXÝXÞ ÌXÍXäTÔVÕXØXåXæXçXèXéXêXëXÎXÏ [1−3]ÔVÕTá âXã .ßVà, áÌXÍXØX÷XøXùXäXúXÚTÔVÕXûXüTýVþXÿ¡ùTÔVÕTᦥXÓTÔ ØXìXí âX㢡£¡¤ ?îXïXðXñXîXòXóXôXõXöX§,? ÕTᦧ¡¨¡©¡ XØ¡¡¥XÓ¡ ¡¡¡¡¡XØXë¡Ó¡¡¡rØrÝrÞØ¡XÏ¡¡ Xã¡¡¡ ??. ÓXÛ¡¡Ø¡!Xë¡¡"¡#¡$XÌXÍXÎrÏXÑXÒ XØ¡¡¡'XÓ¡(XíXå¡)XС"XС*XÌXÍrØXÎXÏrç §¡%