| Halin图$Q$-谱半径的最大值 |
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| 引用本文： | 孔琪,王力工,卢勇.Halin图$Q$-谱半径的最大值[J].数学研究及应用,2017,37(3):253-261. |
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| 作者姓名： | 孔琪 王力工 卢勇 |
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| 作者单位： | 西北工业大学理学院应用数学系, 陕西 西安 710072,西北工业大学理学院应用数学系, 陕西 西安 710072,西北工业大学理学院应用数学系, 陕西 西安 710072 |
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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意创新种子基金项目(Grant No.Z2016170). |
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| 摘 要： | The Q-index of a graph G is the largest eigenvalue q(G) of its signless Laplacian matrix Q(G). In this paper, we prove that the wheel graph W_n = K_1 ∨C_(n-1)is the unique graph with maximal Q-index among all Halin graphs of order n. Also we obtain the unique graph with second maximal Q-index among all Halin graphs of order n.
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| 关 键 词： | Halin图 无符号拉普拉斯谱半径 轮图 |
| 收稿时间： | 2016/5/20 0:00:00 |
| 修稿时间： | 2017/3/15 0:00:00 |
Maxima of the $Q$-Index for Halin Graphs |
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| Qi KONG,Ligong WANG and Yong LU.Maxima of the $Q$-Index for Halin Graphs[J].Journal of Mathematical Research with Applications,2017,37(3):253-261. |
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| Authors: | Qi KONG Ligong WANG and Yong LU |
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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 and Department of Applied Mathematics, School of Science, Northwestern Polytechnical University, Shaanxi 710072, P. R. China |
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| Abstract: | The $Q$-index of a graph $G$ is the largest eigenvalue $q(G)$ of its signless Laplacian matrix $Q(G)$. In this paper, we prove that the wheel graph $W_{n}=K_{1}\vee C_{n-1}$ is the unique graph with maximal $Q$-index among all Halin graphs of order $n$. Also we obtain the unique graph with second maximal $Q$-index among all Halin graphs of order $n$. |
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| Keywords: | Halin graph signless Laplacian spectral radius wheel graph |
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