| 一类单圈图的拉普拉斯谱刻画 |
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| 引用本文： | 王陆华,王力工.一类单圈图的拉普拉斯谱刻画[J].数学研究及应用,2014,34(5):505-516. |
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| 作者姓名： | 王陆华 王力工 |
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| 作者单位： | 西北工业大学应用数学系, 陕西 西安 710129;西北工业大学应用数学系, 陕西 西安 710129 |
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| 基金项目： | 国家自然科学基金(Grant No.11171273),西北工业大学研究生创业种子基金(Grant No.Z2014173). |
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| 摘 要： | Let H（n; q, n1, n2, n3, n4） be a unicyclic graph with n vertices containing a cycle Cq and four hanging paths Ph1＋1, Pn2＋1, Pn3＋1 and Pn4＋1 attached at the same vertex of the cycle. In this paper, it is proved that all unicyclic graphs H （n; q, n1, n2, n3, n4） are determined by their Laplacian spectra.
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| 关 键 词： | Laplace谱 单圈图 Laplacian谱 表征 N2 顶点 周期 |
| 收稿时间： | 2013/11/14 0:00:00 |
| 修稿时间： | 2014/6/19 0:00:00 |
Laplacian Spectral Characterization of a Kind of Unicyclic Graphs |
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| Luhua WANG and Ligong WANG.Laplacian Spectral Characterization of a Kind of Unicyclic Graphs[J].Journal of Mathematical Research with Applications,2014,34(5):505-516. |
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| Authors: | Luhua WANG and Ligong WANG |
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| Institution: | Department of Applied Mathematics, School of Science, Northwestern Polytechnical University, Shaanxi 710072, P. R. China;Department of Applied Mathematics, School of Science, Northwestern Polytechnical University, Shaanxi 710072, P. R. China |
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| Abstract: | Let $H(n;q,n_1,n_2,n_3,n_4)$ be a unicyclic graph with $n$ vertices containing a cycle $C_q$ and four hanging paths $P_{n_1+1}$, $P_{n_2+1}$, $P_{n_3+1}$ and $P_{n_4+1}$ attached at the same vertex of the cycle. In this paper, it is proved that all unicyclic graphs $H(n;q,n_1,n_2,n_3,n_4)$ are determined by their Laplacian spectra. |
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| Keywords: | Laplacian spectrum unicyclic graphs Laplacian matrix |
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