頁籤選單縮合
題名 | On the Number of Laplacian Eigenvalues of Trees Smaller Than Two= |
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作者 | 周玲玲; 周波; 杜志斌; Zhou, Lingling; Zhou, Bo; Du, Zhibin; |
期刊 | Taiwanese Journal of Mathematics |
出版日期 | 20150200 |
卷期 | 19:1 2015.02[民104.02] |
頁次 | 頁65-75 |
分類號 | 310 |
語文 | eng |
關鍵詞 | Laplacian eigenvalues; Trees; Pendant vertex; Diameter; Matching number; Domination number; |
英文摘要 | Let mT [0, 2) be the number of Laplacian eigenvalues of a tree T in [0, 2), multiplicities included. We give best possible upper bounds for mT [0, 2) using the parameters such as the number of pendant vertices, diameter, matching number, and domination number, and characterize the trees T of order n with mT [0, 2) = n − 1, n − 2, and n 2 , respectively, and in particular, show that mT [0, 2) = n 2 if and only if the matching number of T is n 2 . 1. |
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