| On Trees Whose Second Largest Eigenvalue Does Not Exceed 1 |
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| 作者姓名： | JINLONG SHU |
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| 作者单位： | Deportment of mathematic，East China Normal University，Shanghai，China，200062 |
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| 摘 要： | 1.IntroductionLetGbeasimplegraphandA(G)betheadjacencymatrixofagraphGwithnvenices.ThecharacteristicpolynomialofGisthecharacteristicpolynomialofitsadjacencymatriX,denotedbyP(G;A),henceP(G;A)=det(AI--A(G)).SinceA(G)isarealsymmeticmatrix,itseigenvaluesmustberealandorderedasThoseAl(A(G))arecalleditheigenvalueofG,denotedAl(A(G))byAl(G).ThereareinseparableconnectionbetweentheconstructionandtheeigenvalueofgraphG.Severalbooksandalotofliterariesoneigenvaluesofgraphsanditsapplicationhavebeenp…
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On Trees Whose Second Largest Eigenvalue Does Not Exceed 1 |
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| JINLONG SHU.On Trees Whose Second Largest Eigenvalue Does Not Exceed 1[J].OR Transactions,1998(3). |
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| Authors: | JINLONG SHU |
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| Abstract: | All of trees whose second largest eigenvalue does not exceed 1 are presented in this paper. |
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| Keywords: | tree second largest eigenvalue |
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