简介:用构造法研究了路和圈的Mycielski图的点可区别均匀边染色,得到了路和圈的Mycielski图的点可区别均匀边色数,验证了它们满足点可区别均匀边染色猜想(VDEECC).
简介:ONM-IDEALSANDBESTAPPROXIMATIONHANDEGUANG(韩德广)(DepartmentofMathematics,QufuNormalUniversity,Qufu273165,China)Abstract:Inthispa...
简介:ALeverrier-likealgorithmispresentedwhichallowsthecomputationofthetransferfunctionofalinearregularsystemfromitsm-Dstate-spacedescription,withoutinvertingamultivariablepolynomialmatrix.ThisalgorithmisanextensionoftheclassicLeverrier'salgorithmfor1-Dsystemanditreducesthecomputationalcost.ra-DCayley-Hamiltontheoremisalsoshownbythealgorithm.
简介:A.simplicialmesh(triangulation)isconstructedthatgeneralizesthetwo-dimensional4-directionmeshtoR~m.Thismesh,withsymmetric,shift-invariantvaluesatthevertices,isshowntoadmitaboundedC~1interpolantifandonlyifthealternatingsumofthevaluesattheverticesofany1-cubeiszero.Thisim-pliesthaiinterpolationattheverticesofanm-dimensional,simplicialmeshbyaC~1piecewisepolynomialofdegreem+1withonepiecepersimplexisunstable.
简介:ComputingtheeigenvalueofsmallestmodulusanditscorrespondingeigneveclorofanirreduciblenonsingularM-matrixAisconsidered,ItisshownthatiftheentriesofAareknownwithhighrelativeaccuracy,itseigenvalueofsmallestmodulusandeachcomponentofthecorrespondingeigenvectorwillbedeterminedtomuchhigheraccuracythanthestandardperturbationtheorysuggests.Analgorithmispresentedtocomputethemwithasmallcomponentwisebackwarderror,whichisconsistentwiththeperturbationresults.