| On the Spectral Radius of Trees with the Given Diameter d |
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| 作者姓名： | TAN Shang-wang GUO Ji-ming QI Jian |
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| 作者单位： | TAN Shang-wang，GUO Ji-ming，QI Jian
Department of Applied Mathematics，Petroleum University，Dongying 257061，China |
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| 摘 要： | Let T denote a tree with the diameter d(d≥2) and order n. Let P^*d,r,n-d-1denote the tree obtained by identifying the rth vertex of path Pd l and the center of starKl,K1,n-d-1, where r = r(d) is the integer part about d 2/2. Then p(T)≤ p(P^*d,r,n-d-1), andequality holds if and only if T≌P^*d,r,n-d-1
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| 关 键 词： | 图论 树 整数 顶点 通道 |
On the Spectral Radius of Trees with theGiven Diameter d |
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| TAN Shang-wang,GUO Ji-ming,QI Jian.On the Spectral Radius of Trees with the Given Diameter d[J].Chinese Quarterly Journal of Mathematics,2004,19(1):57-62. |
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| Authors: | TANShang-wang GUOJi-ming QIJian |
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| Affiliation: | DepartmentofAppliedMathematics,PetroleumUniversity,Dongying257061,China |
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| Abstract: | |
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| Keywords: | tree spectral radius diameter star path |
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