| 循环赋权图的谱分析 |
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| 引用本文： | 蔡瑞清.循环赋权图的谱分析[J].北京理工大学学报,1987(4). |
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| 作者姓名： | 蔡瑞清 |
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| 作者单位： | 北京工业学院应用数学系 |
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| 摘 要： | 近年来,对循环图的研究已有很多出色成果,但对循环赋权图的研究却很少,对于多重循环赋权图和广义循环赋权图的研究则更少。本文对上述循环赋权图的谱结构进行分析,建立了谱定理和极限分布定理。所得结果在晶体能谱,同系物能谱,均匀连续介质有限元等方面有一定实用价值。
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| 关 键 词： | 循环赋权图 极限分布 谱函数 差分方程 |
SPECTRAL ANALYSIS OF CIRCULAR WEIGHTED GSAPHS |
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| Cai Ruiqi ng.SPECTRAL ANALYSIS OF CIRCULAR WEIGHTED GSAPHS[J].Journal of Beijing Institute of Technology(Natural Science Edition),1987(4). |
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| Authors: | Cai Ruiqi ng |
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| Affiliation: | Department of applied mathematics |
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| Abstract: | In recent yours there appeared an abuildancy of excellent results in the study of circular graphs wher'as little is done for the study of circular weighted graphs, especially of multipl'e circular weighted graphs and generalized circular weighted graphs. In this paper a spectral analysis for circular weighted graphs is done and a Spectrum theorem and a limit distribution theorem are given.The results obtained here are appllicable to the study of crystal energy spectrum, bomologue energy spectrum,uniform -continuous dielectric finite elements,etc. |
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| Keywords: | circular weighted graphs limit distrebution spectral function difference equation |
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