The trees with the second smallest normalized Laplacian eigenvalue at least 1-root 3/2

Tian Xiaoguo; Wang Ligong

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The trees with the second smallest normalized Laplacian eigenvalue at least 1-root 3/2

机译：具有第二个最小标准化拉普拉斯特征值的树木至少1根4/2

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Let lambda(2)(G) be the second smallest normalized Laplacian eigenvalue of a graph G. In this paper, we determine all trees with lambda(2) (T) >= 1 - root 3/2. Meanwhile, if T is a tree of diameter 6, then we prove that lambda(2) (T) <= 1 root 3/2. Moreover, we determine all trees of diameter d = 3 or 6 with lambda(2)(T) = 1 -root 3/2. (C) 2016 Elsevier B.V. All rights reserved.

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《Discrete Applied Mathematics》 |2017年第2017期|共16页
作者
Tian Xiaoguo; Wang Ligong;
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作者单位

Northwestern Polytech Univ Dept Appl Math Sch Sci Xian 710072 Shaanxi Peoples R China;

Northwestern Polytech Univ Dept Appl Math Sch Sci Xian 710072 Shaanxi Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类离散数学;
关键词
Second smallest normalized Laplacian eigenvalue; Tree;

机译：第二个最小标准化的拉普拉斯特征值;树;

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专利

1. The trees with the second smallest normalized Laplacian eigenvalue at least 1-root 3/2 [J] . Tian Xiaoguo, Wang Ligong Discrete Applied Mathematics . 2017,第期

机译：具有第二个最小标准化拉普拉斯特征值的树木至少1根4/2
2. Trees with 4 or 5 distinct normalized Laplacian eigenvalues [J] . Braga Rodrigo O., Del-Vecchio Renata R., Rodrigues Virginia M., Linear Algebra and its Applications . 2015,第Null期

机译：具有4或5个不同的归一化拉普拉斯特征值的树
3. Eigenvalues of normalized Laplacian matrices of fractal trees and dendrimers: Analytical results and applications [J] . Julaiti A., Wu B., Zhang Z. The Journal of Chemical Physics . 2013,第20期

机译：分形树和树状聚合物的标准化拉普拉斯矩阵的特征值：分析结果和应用
4. The prediction of eigenvalues of the normalized laplacian matrix for image registration [C] . Chengcai Leng, Haipeng Zhang 2016 12th International Conference on Natural Computation, Fuzzy Systems and Knowledge Discovery . 2016

机译：用于图像配准的归一化拉普拉斯矩阵特征值的预测
5. On Asymptotics of Nonlocal p-Laplacian Operators and Related Eigenvalues [D] . LI Feng, 李峰 2019

机译：非局部p-Laplacian算子及其相关特征值的渐近性
6. Laplacian Estrada and Normalized Laplacian Estrada Indices of Evolving Graphs [O] . Yilun Shang -1

机译：图的拉普拉斯算子和标准化拉普拉斯算子指数
7. Eigenvalues of normalized Laplacian matrices of fractal trees and dendrimers: Analytical results and applications [O] . Julaiti, Alafate, Wu, Bin, Zhang, Zhongzhi 2013

机译：分形树和分形树的归一化拉普拉斯矩阵的特征值树枝状大分子：分析结果和应用

The trees with the second smallest normalized Laplacian eigenvalue at least 1-root 3/2

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