On the Spectral Radius of Trees with the Given Diameter d

被引:1
|
作者
TAN Shang-wang
机构
关键词
tree; spectral radius; diameter; star; path;
D O I
暂无
中图分类号
O157.5 [图论];
学科分类号
070104 ;
摘要
Let T denote a tree with the diameter d(d≥2) and order n. Let Pd,r,n-d-1 denote the tree obtained by identifying the rth vertex of path Pd+1 and the center of star K1,n-d-1, where r = r(d) is the integer part about d+2/2. Then p(T) ≤p(Pd,r,n-d-1),and equality holds if and only if T≌ Pd,r,n-d-1
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页码:57 / 62
页数:6
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