Let (n,âr;âW nâ1) be the set of all n-vertex weighted trees with r vertices of degree 2 and fixed positive weight set W nâ1, (n,âγ;âW nâ1) the set of all n-vertex weighted trees with q pendants and fixed positive weight set W nâ1, where W nâ1â=â{w 1,âw 2,ââ¦â,âw nâ1} with w 1ââw 2ââ···ââw nâ1ââ0. In this article, we first identify the unique weighted tree in (n,âr;âW nâ1) with the largest adjacency spectral radius. Then we characterize the unique weighted trees with the largest adjacency spectral radius in (n,âγ;âW nâ1).View full textDownload full textKeywordsspectral radius, starlike tree, Perron vector, weighted graphAMS Subject Classifications:05C50, 15A18Related var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; Add to shortlist Link Permalink http://dx.doi.org/10.1080/03081087.2011.639371
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机译：令（n，r; W nâ1）为所有n个顶点加权树的集合，其中r个顶点的度数为2，且固定正权重集合W nâ1，（n，≥Wnâ1）具有q个垂饰和固定正权重集的所有n个顶点加权树的集合W n−1 ，其中W n−1 == {{w 1 ，w 2 ，...，w nâ1}与w 1 ？w 2 ····w w nâ1≥0。在本文中，我们首先在（n，âr; W n−1 ）中确定具有最大邻接光谱半径的唯一加权树。然后，我们在（n，≥3; W n−1 ）中表征具有最大邻接光谱半径的唯一加权树。查看全文下载全文关键字光谱光谱半径，星形树，佩隆矢量，加权图形AMS主题分类：05C50、15A18相关var addthis_config = {ui_cobrand：“泰勒和弗朗西斯在线”，servicescompact：“ citeulike，netvibes，twitter，technorati，delicious，linkedin，facebook，stumbleupon，digg，google，更多”，pubid ：“ ra-4dff56cd6bb1830b”};添加到候选列表链接永久链接http://dx.doi.org/10.1080/03081087.2011.639371
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