THE NEIGHBORHOOD INTERSECTIONS OF ESSENTIAL SETS AND HAMILTONICITY OFGRAPHS

ThisresearchissupportedbytheNationalNaturalScienceFOundationofChina.1.IntroductionInthispaper,theterminologyandnotationnotdefinedwillfollow[1],andweconsideronlysimplefinitegraphs.Le Gbeagraph.AnindependentsetYinGiscalledanessentialindependentset(oressentialsetforsimplicity)ifthereis{UI,y2}CYsuchthatdist(yl,y2)~2.Lett>1beaninteger.DenoteIt(G)={YIYisanindependetsetofG,IYI~t}.It*(G)={YIYisanessentialsetofG,IYI~t}.LetYgV(G),andIYI~t.FOreachiE{0,l,2,'',t},denoteSt(Y)={yivEV(G),…     

MAXIMUM PRINCIPLE FOR OPTIMAL CONTROLPROBLEM OF FULLY COUPLEDFORWARD-BACKWARD STOCHASTIC SYSTEMS

1.IntroductionLet(fi,F,P)beaprobabilityspaceand{Bt}tZobead-dimensionalBrownianmotioninthisspace.Let{R}tZobethenaturalfiltrationofthisBrownianmotion.Weconsiderthefollowingfullycoupledforward-backwardstochasticsystems:where(x,y,z)takesvaluesinR"xacxRTnxd.LetUbeanonemptyconvexsubsetofR',Anelementofadiscalledanadmissiblecontrol.Wecandefinethefollowingcostfunction:TheoptimalcontrolproblemistominimizethecostfunctionJ(v(.))overadmissiblecontrols.Anadmissiblecontrolu(.)iscalledanoptimalcontrol…     

A NEIGHBORHOOD UNION CONDITION FOR PANCYCLIC GRAPHS

1.IntroductionWeconsideronlysimplefinitegraphs.OurbasicnotationandterminologynotdefinedherefollowthOSeofBondyandMurtyll].ForagraphG,letV(G)andE(G)(orjustVandE)deDOtelievertexsetandedgeset,respectively.Wedenoteapathandacyclecontaining8veniCesbyPaandCarespectively.ThecycleCaiscalledans-cycle.Denotebyg(G)(orbrieflybyg)thegirthofG1.SetNC=min{IN(u)UN(v)l:tv相似文献   

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1.IntroductionWeconsidertheunconstrainedoptimizationproblemwheref:Re~RIiscontinuouslydefferentiablewithLipschitzcontinuousgradientf'R"-RI.TwobasicapproaChes,namelythelinesearchandthetrustregion,havebeendevelopedinordertoensureglobalconvergencetowardsminima(see[2,4]).Manyresearcheshavebeendoneontrustregionalgorithmsforunconstrainedoptimizations(see[21--[4]).Thetrustregionmethodrequiresthecalculationofatrailstepbysolvingthefollowingsubproblem:wheregb=f(xk)isthegradientatthecurrentapproximate…     

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目前我国农民思想状况的分析

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Evaluating the Tourism Resources' Development by AHP

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SOME DISCUSSION ON THE CONDITIONS OF COMPLETE CONVERGENCE FOR SUMS OF B-VALUED RANDOM ELEMENTS

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