简介:AgraphGisκ-orderedHamiltonian2≤κ≤n,ifforeveryorderedsequenceSofκdistinctverticesofG,thereexistsaHamiltoniancyclethatencountersSinthegivenorder,Inthisarticle,weprovethatifGisagraphonnverticeswithdegreesumofnonadjacentverticesatleastn+3κ-9/2,thenGisκ-orderedHamiltonianforκ=3,4,…,[n/19].Wealsoshowthatthedegreesumboundcanbereducedton+2[κ/2]-2ifκ(G)≥3κ-1/2orδ(G)≥5κ-4.Severalknownresultsaregeneralized.
简介:ByusingtheLagrange'sintermediatevaluetheorem,itisderivedmathematicallythatthestructur-aldistortionofacoordinationpolyhedronmayleadtoanincreaseinbond-valencesumofthecen-tralatomofion.Theapplicabilitiesofthebond-valencemodelarediscussedinthefollowingtwocases:themodelingofcrystalstructure,andtheindicationofdistortiondegreeofacoordinationpolyhedron.Alsoitisshownthatadistortedpolyhedronshouldbeinfavorofalongeraveragebondlengthorasmallercoordinationnumber.
简介:在这篇文章,我们建议一条新一般途径到构造不均匀的直角的数组,也就是Kronecker和。自从很多newmixed水平,直角的数组能被这个方法获得,有趣。
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简介:Rèsumèonnewmonograph“AdvanceinMathematicalSeismology”edit┐edbyJunjiKoyama&FengDeyiThenewmonograph“AdvanceinMathematicalSeismo...
简介:Itwillbedeterminedunderwhatconditionstypesofproximinalityaretransmittedtoandfromquotientspaces.Inthefinalsection,bymanyexamplesweshowthattypesofproximinalityofsubspacesinBanachspacescannotbepreservedbyequivalentnorms.