| 关于图Laplacian矩阵的第三个不变因子的一个注记(英文) |
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| 引用本文： | 王健,潘永亮.关于图Laplacian矩阵的第三个不变因子的一个注记(英文)[J].中国科学技术大学学报,2011(6). |
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| 作者姓名： | 王健 潘永亮 |
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| 作者单位： | 中国科学技术大学数学系; |
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| 基金项目： | Supported by the Fundamental Research Funds for the Central Universities and the NSF of China(10871189) |
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| 摘 要： | 设G是n阶简单连通无向图,其中n≥5.证明了图G的Laplacian矩阵的第三个不变因子S3(G)≤n.刻画了满足S3(G)=n,n-1,n-2,n-3的所有简单连通无向图.
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| 关 键 词： | 图 Laplacian矩阵 不变因子 Smith标准型 |
A note on the third invariant factor of the Laplacian matrix of a graph |
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| WANG Jian,PAN Yongliang.A note on the third invariant factor of the Laplacian matrix of a graph[J].Journal of University of Science and Technology of China,2011(6). |
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| Authors: | WANG Jian PAN Yongliang |
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| Institution: | WANG Jian,PAN Yongliang(Department of Mathematics,University of Science and Technology of China,Hefei 230026,China) |
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| Abstract: | |
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| Keywords: | graph Laplacian matrix invariant factor Smith normal form |
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