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简介：AsetDofverticesofagraphG=(V,E)iscalledadominatingsetifeveryvertexofVnotinDisadjacenttoavertexofD.In1996,Reedprovedthateverygraphofordernwithminimumdegreeatleast3hasadominatingsetofcardinalityatmost3n/8.InthispaperwegeneralizeReed'sresult.WeshowthateverygraphGofordernwithminimumdegreeatleast2hasadominatingsetofcardinalityatmost(3n+|V_2|)/8,whereV_2denotesthesetofverticesofdegree2inG.Asanapplicationoftheaboveresult,weshowthatfork>1,thek-restricteddominationnumberr_k(G,y)<(3n+5k)/8forallgraphsofordernwithminimumdegreeatleast3.

简介：Letm,n,S1,S2,…,Sn,benon-negativeintegerswith0≤m≤n.Assumeμ（S1,S2,…,Sn）={（a1,a2,…,an）|0≤ai≤Siforeachi}isaposer,Where（a1,a2,…,an）<（b1,b2,…,bn）ifandonlyifai

简介：ThispaperconstructsaclassofHarish-Chandramoduleswithmultiplicity＜-1ofthetwoparameterdeformationofVirasoroalgebraandprovesaclassificationtheorem.

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简介：在现在的纸，有直径二一reclassified的常规平面图。

简介：Inthispaper,thetwodirnensionalStancu-MuhlbachoperatorandBetaoperatorareintroduced,andtheirapproximationpropertiesarediscussed.

简介：让G是有最大的度Δ的一张外部平面图。让的X(G2)和λ(G)表示平方和L的色彩的数字(2，1)分别地把G的数字标记。在这篇论文，我们证明下列结果：(1)X(G2)=7如果Δ=6；(2)λ(G)≤Δ+5如果Δ≥4，并且λ(G)≤7如果Δ=3；并且(3)有有Δ=的外部平面图G4以便λ(G)=7。这些在距离上改进一些已知的结果二标记外部平面图。

简介：Themaximummatchinggraphofagraphhasavertexforeachmaximummatchingandanedgeforeachpairofmaximummatchingswhichdifferbyexactlyoneedge.Inthispaper,weobtainalowerboundofdistancebetweentwoverticesofmaximummatchinggraph,andgiveanecessaryandsufficientconditionthattheboundcanbereached.

简介：Inthispaper,weestablishsomenewdiscreteinequalitiesofOpial-typewithtwosequencesbymakinguseofsomeclassicalinequalities.Theseresultscontainasspecialcasesimprovementsofresultsgivenintheliterature,andtheseimprovementsarenewevenintheimportantdiscretecase.

简介：在这份报纸，我们构造从周期的功能g放大功能和小浪的二尺寸的周期的interpolatory(x1，x2)，其Fourier系数是积极的，并且获得可伸缩的一些性质，工作并且小浪。

简介：Thispaperstudiestheinteractionofelementarywavesincludingdelta-shockwavesontwoboundariesforahyperbolicsystemofconservationlaws.Thesolutionsoftheinitial-boundaryvalueproblemforthesystemareconstructivelyobtained.Intheproble

简介：LetRbeafinitechainringwithmaximalidealγandresiduefieldF,andletγbeofnilpotencyindext.ToeverycodeCoflengthnoverR,atowerofcodesC=(C:γ0)(C:γ)(C:γi)(C:γt-1)canbeassociatedwithC,whereforanyr∈R,(C:r)={e∈Rn|re∈C}.UsinggeneratorelementsoftheprojectionofsuchatowerofcodestotheresiduefieldF,wecharacterizecycliccodesoverR.ThischaracterizationturnstheconditionforcodesoverRtobecyclicintooneforcodesovertheresiduefieldF.Furthermore,weobtainacharacterizationofcycliccodesovertheformalpowerseriesringofafinitechainring.

简介：Inthispaper,wediscusssomefundamentalpropertiesoftwoidealizedtypicalnetworks,namely,gridtypeandradial-circulartype.ThediscussionisbasedonSPCP(ShortestPathCountingProblem),whichreflectsthetrafficdensityofaroadsegment.Furthermore,wecomparetheireffectivenessbasedontheobtainedresultsoftheabovetworoadnetworks,andsuggestsomeproposalsonthedesignofcarlanesbyconsideringthedirectionofaroadsegmentinrelationtotheseroadnetworks.

简介：Thispaperconsiderssingle-machineschedulingproblemsingrouptechnologywiththejobs'processingtimesbeingsimplelinearfunctionsoftheirstarttimes.Theobjectivefunctionsaretheminimizingofmakespanandtotalweightedcompletiontime.SomeoptimalconditionsandalgorithmsaregivenandthefactthattheproblemoftotalweightedcompletiontimesisNP-hardisproved.

简介：这篇论文为他们的成熟时期推迟的二种的成年人关心interactional模特儿。存在和equilibria的本地稳定性分别地为竞争系统，合作系统和食肉动物猎物系统彻底地被讨论。为有竞争和合作的相互作用的系统，如果积极平衡是稳定的，二张人口是一致地坚持的，这被发现。然而，为食肉动物猎物相互作用，一些进一步的条件被需要保证系统的坚持。

简介：Thispaperinvestigatesthepredator-preysystem:x=k1（x-ax）-k（x）y,y=(-k3+βk（x）ywit.k（x）=k2x,x≤x,k2x,x>τ,whereα,β,τ;k1,k2,k3arepositiveconstants.Themainresultsareasfollows（i）Incasek3-βk2τ≥0system（1）hasnolimitcycle.（ii）Incasek3-βk2τ<0,k1+k3-βk2τ>0,andforO<α<<1,system（1）atleasthastwolimitcycles.

简介：Thispaperisconcernedwiththeglobalexistenceanduniformboundednessofsolutionsfortwoclassesofchemotaxismodelsintwoorthreedimensionalspaces.Firstly,byusingdetailedenergyestimates,specialinterpolationrelationanduniformGronwallinequality,weprovetheglobalexistenceofuniformlyboundedsolutionsforaclassofchemotacticsystemswithlinearchemotactic-sensitivitytermsandlogisticreactionterms.Secondly,byapplyingdetailedanalyticsemigroupestimatesandspecialiterationtechniques,weobtaintheglobalexistenceofuniformlyboundedsolutionsforaclassofchemotacticsystemswithnonlinearchemotacticsensitivityterms,whichextendstheglobalexistenceresultsof[6]toothergeneralcases.

简介：Hardy-Littlewood最大的操作员的二归纳被考虑。为他们的一些估计被获得。

简介：Atwo-leveldiscretizationmethodforeigenvalueproblemsisstudied.ComparedtothestandardGalerkinfiniteelementdiscretizationtechniqueperformedonafinegridthismethoddiscretizestheeigenvalueproblemonacoarsegridandobtainsanimprovedeigenvector(eigenvalue)approximationbysolvingonlyalinearproblemonthefinegrid(ortwolinearproblemsforthecaseofeigenvalueapproximationofnonsymmetricproblems).TheimprovedsolutionhastheasymptoticaccuracyoftheGalerkindiscretizationsolution.ThelinkbetweenthemethodandtheiteratedGalerkinmethodisestablished.Errorestimatesforthegeneralnonsymmetriccasearederived.