| 卡氏积图的Laplacian谱半径的上界 |
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| 引用本文： | 周后卿. 卡氏积图的Laplacian谱半径的上界[J]. 浙江大学学报(理学版), 2018, 45(1): 10. DOI: 10.3785/j.issn.1008-9497.2018.01.002 |
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| 作者姓名： | 周后卿 |
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| 作者单位： | 邵阳学院 理学院, 湖南 邵阳 422000 |
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| 基金项目： | 国家自然科学基金资助项目（61672356）；湖南省教育厅科学研究项目（2015C1235，2016C1434）. |
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| 摘 要： | 对近年来图的Laplacian谱半径上界的研究成果进行了简单梳理.利用2个图的卡氏积图的特征值，讨论了2个循环图的卡氏积图的Laplacian谱半径的上界问题，得到了几个上界，推广了已有文献的结论.
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| 关 键 词： | 卡氏积图 Laplacian矩阵 谱半径 上界 |
| 收稿时间： | 2016-07-25 |
Upper bounds of Laplacian spectral radius for the Cartesian product graphs |
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| ZHOU Houqing. Upper bounds of Laplacian spectral radius for the Cartesian product graphs[J]. Journal of Zhejiang University(Sciences Edition), 2018, 45(1): 10. DOI: 10.3785/j.issn.1008-9497.2018.01.002 |
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| Authors: | ZHOU Houqing |
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| Affiliation: | College of Science, Shaoyang University, Shaoyang 422000, Hunan Province, China |
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| Abstract: | We organize the results of the upper bounds of Laplacian spectral radius for some graphs in the last few years and explore the upper bounds of Laplacian spectral radius for the Cartesian product of circulant graphs based on the eigenvalues of the Cartesian product of two graphs. Our results generalize and improve the conclusion of the existing literatures. |
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| Keywords: | Cartesian product graphs Laplacian matrix spectral radius upper bound |
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