| 若干曲面格子图的谱 |
| Alternative Title | The spectra of some lattice graphs on surfaces
|
| 何敬华 |
| Thesis Advisor | 张和平
|
| 2008-05-20
|
| Degree Grantor | 兰州大学
|
| Place of Conferral | 兰州
|
| Degree Name | 博士
|
| Keyword | 邻接矩阵
图的谱
谱半径
零维数
商图
六角系统
|
| Abstract | 本论文研究了几类有一定化学与物理背景的曲面格子图(环面, Klein瓶以及柱面上的六角系统, 4-8格图和4-6-8格图)的谱.通过商图的谱理论我们讨论了它们谱之间的关系. 环面,Klein瓶以及柱面上的六角系统是六边形在相应曲面上的堆砌,而这三类曲面上的4-8(4-6-8)格图是由四边形和八边形(四边形, 六边形和八边形)堆砌而成. |
| Other Abstract | In this thesis, we consider the spectra of some lattice graphs on surfaces( polyhexes, 4-8 lattice graph and 4-6-8 lattice graph on torus, Klein bottle and cylinder) which have some backgrounds in chemistry and physics. And by the quotient spectral graph theory, we obtain the relations between their spectra. Toroidal polyhexes,Klein bottle polyhexes and Cylinder polyhexes are the graphs of trivalent hexagonal tessellation of corresponding surfaces, and 4-8 (4-6-8) lattice graphs on the three surfaces are also edge-to-edge tilings with two (three) types of polygons---quadrangle and octagon (quadrangle, hexagon and octagon). |
| URL | 查看原文
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| Language | 中文
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| Document Type | 学位论文
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| Identifier | https://ir.lzu.edu.cn/handle/262010/224765
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| Collection | 数学与统计学院
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Recommended Citation
GB/T 7714 |
何敬华. 若干曲面格子图的谱[D]. 兰州. 兰州大学,2008.
|
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