Abstract Laplacian eigenvalues of trees have been studied by many researchers. They are closely related to the diameter, domination number, matching number and Laplacian energy of trees. The goal of this paper is to prove a conjecture on the number of Laplacian eigenvalues of trees that are less than the average degree.

中文翻译：

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关于小于平均度数的树的拉普拉斯特征值个数

摘要 树木的拉普拉斯特征值已经被许多研究人员研究过。它们与树木的直径、支配数、匹配数和拉普拉斯能量密切相关。本文的目的是证明一个关于小于平均度数的树的拉普拉斯特征值个数的猜想。