| 关于树的Large Laplace谱扰动 |
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| 引用本文： | 范益政. 关于树的Large Laplace谱扰动[J]. 中国科学技术大学学报, 2004, 34(6): 647-654 |
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| 作者姓名： | 范益政 |
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| 作者单位： | 南京师范大学数学系,江苏,南京,210097;安徽大学数学系,安徽,合肥,230039 |
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| 基金项目： | NSFofDepartmentofEducationofAnhuiProvinceofChina(2004kj027)，andtheprojectofresearchsupportforYouthTeachersofUniversitiesofAnhuiProvinceofChina(2003jql01)andtheprojectofAnhuiUniversityforTalentsGruopConstruction |
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| 摘 要： | 讨论树在添加一条边后其Laplace谱发生的扰动，刻画了满足如下条件的匹配数为2或3的树：添加一条边后所有变化的特征值以整数增加．对于每个μ≥2(或n≥5)，构造了一个匹配数为μ(或顶点数为n)的树，以满足上述性质．
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| 关 键 词： | Laplace特征值 谱整性变化 匹配数 |
On Laplacian Spectral Perturbations of Trees |
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| Abstract. On Laplacian Spectral Perturbations of Trees[J]. Journal of University of Science and Technology of China, 2004, 34(6): 647-654 |
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| Authors: | Abstract |
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| Abstract: | All trees with matching number 2 or 3, for which all changed Laplacian eignvalues moved up by integers after adding an edge, are characterized. For each μ≥2(or n≥5) ,a tree with matching numberμ (or vertex number n) which holds the above property after adding an edge is constructed. |
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| Keywords: | tree Laplacian eigenvalue spectral integral variation matching number |
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