兰州大学机构库 >数学与统计学院
若干曲面格子图的谱
Alternative TitleThe 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 AbstractIn 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
Language中文
Document Type学位论文
Identifierhttps://ir.lzu.edu.cn/handle/262010/224765
Collection数学与统计学院
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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