简介：P1(G)是指这样的图：G中的所有k路作为P1(G)的顶点集，两个不同的顶点在Pk(G)中邻接当且仅当它们所对应的两条k路的并为G中的(k+1)路或k圈，那么，完美图猜想对于路图P3（G)是成立的。

简介：设G是一个图.设g和f是两个定义在V(G)上的整值函数使得对V(G)所有的顶点x有g(x)f(x).图G被称为(g,f,n)-临界图,如果删去G的任意n个顶点后的子图都含有G的(g,f)-因子.本文给出了图是(a,b,n)-临界图几个充分条件.进一步指出这些条件是最佳的.例如,如果对V(G)所有的顶点x和y都有g(x)＜f(x),n+g(x)dG(x)和g(x)/(dG(x)-n)f(y)/dG(y),则G是(g,f,n)-临界图.

简介：在简单图的顶点度和f-因子的关系方面,本文在Tutte定理的基础上给出了图G不存在f-因子时的一个结论.

简介：设G是一个图，具有顶点集V（G）和边集E（G）．设g和f是定义在V（G）上的整数值函数且对每个x∈y（G）有g（x）≤f（x）．本文证明了如下的结果：若G是一个（mg＋kr，mf-kr）一图，且对每个x∈V（G）有g（x）≥r-1，H和G的任意给定的有kr条边的子图，则G中含有一个子图R，使R有（g，f）-因子分解r-正交于H，其中m，k和r是正整数且k〈m.

简介：一个单圈图G的邻接矩阵是奇异的当且仅当G含完美匹配和4m(m∈N)阶圈,或G和从G中删去唯一圈中的顶点及其关联边后得到的导出子图均不含完美匹配.单圈图的邻接矩阵的最大行列式是4.

简介：<正>WeareconcernedwiththefollowingDirichletproblem:-△u（x）=f（x,u）,x∈Ω.u∈H01（Ω）.（P）wheref（x,t）∈C（Ω×R）,f（x,t）/tisnondecreasingint∈RandtendstoanL∝-functionq（x）uniformlyinx∈Ωast→+∝（i.e.,f（x,t）isasymptoticallylinearintatinfinity）.Inthiscase.anAmbrosetti-Rabinowitz-typecondition,thatis.forsomeθ>2.M>0,0<θF（x.s）≤f（x,s）s,forall|s|≥Mandx∈Ω,（AR）isnolongertrue,whereF（x,s）=integralfromn=0tosf（x,t）dt.Asiswellknown,（AR）isanimportanttechnicalconditioninapplyingMountainPassTheorem.Inthispaper,withoutassuming（AR）weprove,byusingavariantversionofMountainPassTheorem,thatproblem（P）hasapositivesolutionundersuitable,conditionsonf（x,t）andq（x）.Ourmethodsalsoworkforthecasewheref（x,f）issuperlinearintatinfinity.i.e.,q（x）≡∞.

简介：InthispaperwegivesomenewChebyshevsetsandtheirapplicationstomultiproducts.

简介：一个图称为分数（g，f，m）一消去图若删除任意m条边后的剩余子图依然存在分数（g，f）一因子．本文证明若图G的阶为n，1≤n≤g（x）≤f（x）-△≤b-△对任意顶点x∈V（G）成立，δ（G）≥（b-△）（b＋1）/a＋2m,n≥（a＋b）（2（a＋b）＋2m-1）/a＋△且｜NG（x1）∪NG（x2）｜≥（b-△）n/a＋b对任意不相邻顶点x1和x2都成立，则G是分数（g，f，m）-消去图．这个领域并条件在一定程度上是最好的．

简介：Inthispaper,theauthorsintroduceakindofreduciblealgebroidfunctions,thatisgeneralalgebroidfunctionsandobtaintwofundamentaltheoremsofgeneralalgebroidfunctions.Atlast,asanapplication,wegeneralizedatheoremofLiGuoping’s.

简介：Let1

简介：Thegeodesicindifferentialgeometryiseornmonlyusedincomputer-aidedfilamentwinding(CAFW)toavoidslippageinmanufacturingprocess.Theuniquenessofthegeodesicbyitsinitialvaluesseverelyrestrictsthechoiceofthefiberpathandisanobstacletotheproductionofoptimizedstructures.Thispaperpresentsanewclassofmoreflexiblenon-sliptrajectoriesonrevolutionalsurfacesasanextensionofthewell-knownClariautequationandgivesitsapplicationinCAFW.

简介：Inthispaper,weintroducetheapplicationofrandommatricesinmathematicalphysicsincludingRiemann-Hilbertproblem,nuclearphysics,bigdata,imageprocessing,compressedsensingandsoon.WestartwiththeRiemannHilbertproblemandstatetherelationbetweentheprobabilitydistributionofnontrivialzerosandtheeigenvaluesoftherandommatrices.Throughtherandommatricestheory,wederivethedistributionofNeutronwidthandprobabilitydensitybetweenenergylevels.Inaddition,theapplicationofrandommatricesinquantumchromodynamicsandtwodimensionalEinsteingravityequationsisalsopresentinthispaper.

简介：WiththedevelopmentofWeb2.0,moreandmorepeoplechoosetousetheInternettoexpresstheiropinions.Allthisopinionstogetherintoanewformtextwhichcontainsalotofvaluableemotionalinformation,thisiswhyhowtodealwiththesetextsandanalysistheemotionalinformationissignificantforus.Wegetthreemaintasksofsentimentanalysis,includingsentimentextraction,sentimentclassification,sentimentapplicationandsummarization.Inthispaper,basedontheRsoftware,weintroducedthestepsofsentimentanalysisindetail.Finally,wecollectthemoviereviewsfromtheInternet,anduseRsoftwaretodosentimentanalysisinordertojudgetheemotionaltendencyofthetext.

简介：Throughoutthispaper,let(Ω,ι,μ)beaprobabilityspace,Dthecollectionofallleft-continuousdistributionfunctions,andD~+={F(0)=0|F∈D},andL(Ω)thecollec-tionofallrandomvariableswhichisa.s.finiteonΩ,andL~+={ξ≥0a.s.|ξ∈L(Ω)}.Forrandommetric(normed)spaces,see[1]or[2].Theorem1Let(M,d)beacompletemetricspacef:M→M,acontractmappingwithcontractcoefficientα∈[0,1),L(Ω,m)thecollectionofallM-valuedrandomvari-

简介：

简介：Thispaperdiscussespointwiseerrorestimatesfortheapproximationbyboundedlinearoperatorsofcontinuousfunctionsdefinedoncompactmetricspaces(X,d),Theauthorsintroduceanewmajorautofthemodulusofthecontinuitywhichisthesrnallestamongthoseg(ξ)'swhichhavethefollowingpropertiesω(f，ε)≤9(f，ε)andg(f,λε)≤(1+λ)g(f,ε)andbythismajorantanewquantitativeKorovkintypetheoremonanycompactmetricspaceisproved.

简介：AmodificationofafiniteelementmethodofDouglasandRobertsforapproximatingthesolutionoftheequationsdescribingcompressiblemiscibledisplacementinaporousmediumisproposedandanalyzed.ThepressureistreatedbyaparabolicmixedfiniteelementmethodusingaRaviart-Thomasspaceofindexroveraquasiregularpartition,AnextensionoftheDarcyvelocityalongGausslinesisusedintheevaluationofthecoefficientsintheGalerkinprocedurefortheconcentration.Asimplecomputationalprocedureallowsthesuperconvergencepropertyofthefluidvelocitytoberetainedinourtotalalgorithm.

简介：设图G是一个简单图，图G的补图记为^-G，如果G的谱都是整数，就称G是整谱图．鸡尾酒会图CP（n）=K2n-nK2（K2n是2n阶完全图）和完全图Kα都是整谱图．本文确定了图类^-αKα∪βCP（b）中的所有整谱图．

简介：ThispaperintroducestheconceptoflocalC-cosins-familyandinverstigateitsbasicproperties,Inparticular,acharacterizationofthecompleteinfinitesimalgeneratorofalocalC-cosinefamilyisobtained,AsanapplieationofthistheorytothesecondordersbstractCauchyproblems,acharacterizationofthelocalC-well-posednessoftheseproblemsisgivenintermsofthelocalC-cosinefamilytheory.

简介：Regimeswitching,whichisdescribedbyaMarkovchain,isintroducedinaMarkovcopulamodel.Weprovethatthemarginals(X,H~i),i=1,2,3oftheMarkovcopulamodel(X,H)arestillMarkovprocessesandhavemartingaleproperty.Inthisproposedmodel,apricingformulaofcreditdefaultswap(CDS)withbilateralcounterpartyriskisderived.更多还原