| 第二大特征值小于$frac{sqrt{5}-1}{2}$的平面图 |
| |
| 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 |
| |
| 作者姓名： | 耿子豪 郭继明 |
| |
| 作者单位： | 华东理工大学数学学院, 上海 200237 |
| |
| 基金项目： | 国家自然科学基金 (Grant No.12171154). |
| |
| 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.
|
| 关 键 词： | 平面图 第二大特征值 完全乘积 |
| 收稿时间： | 2023-04-17 |
| 修稿时间： | 2023-07-08 |
Planar Graphs whose Second Largest Eigenvalue Smaller than $frac{sqrt{5}-1}{2}$ |
| |
| 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 |
| |
| Authors: | Zihao GENG Jiming GUO |
| |
| Affiliation: | Department of Mathematics, East China University of Science and Technology, Shanghai 200237, P. R. China |
| |
| 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. |
| |
| Keywords: | planar graph the second largest eigenvalue complete product |
|
| 点击此处可从《数学研究及应用》浏览原始摘要信息 |
|
点击此处可从《数学研究及应用》下载免费的PDF全文 |
