On the distance spectral radius of trees
On the distance spectral radius of trees
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DOI：
10.1080/03081087.2012.711324
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发表时间：
2013-06
影响因子：
1.1
通讯作者：
Milan Nath;Somnath Paul
中科院分区：
文献类型：
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作者：
Milan Nath;Somnath Paul
在本文中，我们证明了在匹配数为m的n个顶点的树中，哑铃树是最大化距离谱半径的唯一树，这是Aleksandar Ilić [Distance spectral radius of trees with given matching number，Discr. 158（2010），pp. 1799-1806年]。此外，我们找到了唯一的树，最大化的距离谱半径在一类树与一个给定的悬垂顶点数。
In this article, we prove that among trees on n vertices and matching number m, the dumbbell is the unique tree that maximizes the distance spectral radius, which was conjectured by Aleksandar Ilić [Distance spectral radius of trees with given matching number, Discr. Appl. Math. 158 (2010), pp. 1799–1806]. In addition, we find the unique tree that maximizes the distance spectral radius in the class of trees with a given number of pendent vertices.