| 第二大特征值小于$\frac{\sqrt{5}-1}{2}$的平面图 |
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| 引用本文： | 耿子豪,郭继明.第二大特征值小于$\frac{\sqrt{5}-1}{2}$的平面图[J].数学研究及应用,2024,44(1):1-6. |
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| 作者姓名： | 耿子豪 郭继明 |
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| 作者单位： | 华东理工大学数学学院, 上海 200237 |
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| 基金项目： | 国家自然科学基金 (Grant No.12171154). |
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| 摘 要： | 若能将图$G$画在一个平面上,使得任何两条边仅在顶点处相交,则称$G$是平面图.本文刻画了第二大特征值小于$\frac{\sqrt{5}-1}{2}$的所有无孤立点的平面图.
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| 关 键 词： | 平面图 第二大特征值 完全乘积 |
| 收稿时间： | 2023/4/17 0:00:00 |
| 修稿时间： | 2023/7/8 0:00:00 |
Planar Graphs whose Second Largest Eigenvalue Smaller than $\frac{\sqrt{5}-1}{2}$ |
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| Zihao GENG,Jiming GUO.Planar Graphs whose Second Largest Eigenvalue Smaller than $\frac{\sqrt{5}-1}{2}$[J].Journal of Mathematical Research with Applications,2024,44(1):1-6. |
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| Authors: | Zihao GENG Jiming GUO |
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| Institution: | Department of Mathematics, East China University of Science and Technology, Shanghai 200237, P. R. China |
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| Abstract: | A graph $G$ is said to be planar if $G$ can be drawn on the plane in such a way that its edges intersect only at their endpoints. In this paper, all the planar graphs without isolated vertices whose second largest eigenvalue smaller than $\frac{\sqrt{5}-1}{2}$ are characterized. |
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| Keywords: | planar graph the second largest eigenvalue complete product |
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