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| Upper bounds of Laplacian spectral radius for the Cartesian product graphs |
| ZHOU Houqing |
| 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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Received: 25 July 2016
Published: 15 December 2017
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卡氏积图的Laplacian谱半径的上界
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.
关键词：
卡氏积图,
Laplacian矩阵,
谱半径,
上界
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