简介:AgraphGiscalledchromatic-choosableifitschoicenumberisequaltoitschromaticnumber,namelych(G)=χ(G).Ohba’sconjecturestatesthateverygraphGwith2χ(G)+1orfewerverticesischromaticchoosable.ItisclearthatOhba’sconjectureistrueifandonlyifitistrueforcompletemultipartitegraphs.Recently,Kostochka,StiebitzandWoodallshowedthatOhba’sconjectureholdsforcompletemultipartitegraphswithpartitesizeatmostfive.Butthecompletemultipartitegraphswithnorestrictionontheirpartitesize,forwhichOhba’sconjecturehasbeenverifiedarenothingmorethanthegraphsKt+3,2*(k-t-1),1*tbyEnotomoetal.,andKt+2,3,2*(k-t-2),1*tfort≤4byShenetal..Inthispaper,usingtheconceptoff-choosable(orL0-size-choosable)ofgraphs,weshowthatOhba’sconjectureisalsotrueforthegraphsKt+2,3,2*(k-t-2),1*twhent≥5.Thus,Ohba’sconjectureistrueforgraphsKt+2,3,2*(k-t-2),1*tforallintegerst≥1.
简介:Inthispaper,wepresentanecessaryandsufficientconditionthattheperturbedmonomialmappingisergodiconasphereSp^-1(1),whichisinacombinationwithAnashin'searlierresultsabouttheperturbedmonomialergodicmappingsonasphereSp^-r(1),r>1,completelysolveaproblemposedbyA.Khrennikovabouttheergodicityofaperturbedmonomialmappingonasphere.
简介:UsingthemethodofGirsanovtransformation,weestablishtheTalagrand'sT2-inequalityfordiffusiononthepathspaceC([0,N],R^d)withrespecttoauniformmetric,withtheconstantindependentofN.ThisimprovestheknownresultsfortheL2-metric.
简介:theAlternatingSegmentCrank-Nicolsonschemeforone-dimensionaldiffusionequationhasbeendevelopedin[1],andtheAlternatingBlockCrank-Nicolsonmethodfortwo-dimensionalproblemin[2].Themethodshavetheadvantagesofparallelcomputing,stabilityandgoodaccuracy.Inthispaperforthetwo-dimensionaldiffusionequation,thenetregionisdividedintobands,aspecialkindofblock.ThismethodiscalledthealternatingBandCrank-Nicolsonmethod.
简介:相对增益阵列(RGA)大多数应用的矩阵阶数都是较小的(n=2,3或4).我们从矩阵方程Φ(A)=1/2J2的实数解出发,应用矩阵方程Φ(A)=1/nJn的实数解在G-等价下的不变性和实数解的分块构造法,研究了Φ(A)=1/4J4的实数解的一些问题.
简介:Theauthorgivessomecharacterizationsofstronglyalgebraiclattices,andprovesthatthecategoryofstronglyalgebraiclattiesiscompleteandcocomplete.Finally,thispapergivesthecompleteconditionsunderwhichtheminimalmappingβ:L→2^LonacompletelydistributivelatticeLpreservesfiniteinfsandarbitraryinfs.
简介:让S是包含一刺x的Riemann表面。让是S上的简单关上的geodesics的收集,并且让表示在S上在对身份同位素的S上印射班的集合{x}。关于曲线c由tc表示积极Dehn扭曲。在这份报纸,作者学习形式的产品(tbmtn)fk一,b和f。如果,看见那是容易的=b或一,b是S上的刺穿x的柱体的边界部件,那么,一个人可以发现一个元素f以便顺序(tbmtn一)fk无穷地包含Dehn扭曲的许多力量。作者证明converse陈述仍然保持真,也就是说如果顺序(tbmtn)fk无穷地包含Dehn扭曲的许多力量,那么一,b一定是S上的刺穿x的柱体的边界部件,f是旋转地图tb的力量1t一。
简介:在这篇论文,我们基于没有任何凸状结构,在拓扑的空格印射的微弱地概括的KKM建立一些新概括KKM类型定理。作为应用,一些得最高分的战略不平等和为一个抽象概括向量平衡问题的平衡点的一条存在定理在拓扑的空格被证明。在这篇论文介绍的结果在最近的文学统一并且概括一些已知的结果。关键词微弱地概括了印射的KKM-概括KKM类型定理-微弱地概括了斜伪凸-(W,S,K)印射对-概括向量平衡2000苏布杰克特先生分类91B50-91A44-91A13由国家天赋支持了中国(号码10771058)和湖南的科学基础省的自然科学基础(号码09JJ6013)。