| 复杂网络的邻接矩阵及其特征谱 |
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| 引用本文： | 熊文海,高齐圣,张嗣瀛.复杂网络的邻接矩阵及其特征谱[J].武汉理工大学学报(交通科学与工程版),2009,33(1). |
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| 作者姓名： | 熊文海 高齐圣 张嗣瀛 |
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| 作者单位： | 青岛大学复杂性科学研究所,青岛,266071 |
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| 摘 要： | 复杂网络的邻接矩阵全面地刻画了网络中节点之问的相互关系,通过它能够很好地描述复杂系统的特质.文中推导了网络邻接矩阵与网络各特质之间的函数关系,找出了网络邻接矩阵与网络结构的一一对应关系,还对各类网络的邻接矩阵特征谱进行了分析与总结,结果表明不同类型的网络其邻接矩阵谱分布也不相同.
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| 关 键 词： | 复杂网络 邻接矩阵 函数关系 特征谱 |
Adjacency Matrix and Spectral Density of Complex Networks |
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| Xiong Wen-hai,Gao Qi-sheng,Zhang Si-ying.Adjacency Matrix and Spectral Density of Complex Networks[J].journal of wuhan university of technology(transportation science&engineering),2009,33(1). |
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| Authors: | Xiong Wen-hai Gao Qi-sheng Zhang Si-ying |
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| Institution: | Institute of Complexity Science;Qingdao University;Qingdao 266071 |
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| Abstract: | Adjacency matrix of complex networks characterizes completely the relationship between nodes of networks,so it can perfectly describe the property of complex networks.Firstly,we derive functional relationship between adjacency matrix and networks parameters,in which we find coincidence relation between adjacency matrix and topological structure of complex networks,Secondly,we summarize and analysis spectral density of different types networks,the result indicates that different network structure has differe... |
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| Keywords: | complex network adjacency matrix functional relation spectrum |
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