| 双圈图Laplacian矩阵的谱 |
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| 引用本文： | 乔晓云,郑学谦. 双圈图Laplacian矩阵的谱[J]. 广西科学, 2010, 17(4): 292-294 |
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| 作者姓名： | 乔晓云 郑学谦 |
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| 作者单位： | 山西大学商务学院理学系,山西太原030031 |
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| 基金项目： | 山西大学商务学院科研基金 |
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| 摘 要： | 分析双圈图的Laplacian矩阵谱和匹配数之间的关系,得到双圈图Laplacian矩阵特征值的分布情况,并利用线图理论给出两个圈均为偶圈的双圈图次大特征值的一种理论求法.
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| 关 键 词： | 双圈图 Laplacian矩阵 特征值 匹配 |
| 收稿时间： | 2010-02-08 |
| 修稿时间： | 2010-08-29 |
Laplacian Matrix Spectra of Bicyclic Graphs |
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| QIAO Xiao-yun and ZHENG Xue-qian. Laplacian Matrix Spectra of Bicyclic Graphs[J]. Guangxi Sciences, 2010, 17(4): 292-294 |
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| Authors: | QIAO Xiao-yun and ZHENG Xue-qian |
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| Affiliation: | (Department of Mathematics and Physics, Bussiness College of Shanxi University, Taiyuan, Shanxi, 030031 ,China) |
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| Abstract: | This paper discusses the relation between the matching number and Laplacian matrix spectra of a bicyelic graph , and the distribution of eigenvalue of Laplacian matrix of a bicyclic graph is given. Besides, with the line graph theory, we give a method to calculate the second largest eigenvalue of a bicyelic graph, of which both cycles are even. |
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| Keywords: | bicyclic graph Laplacian matrix eigenvalue matching |
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