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双圈混合图特征向量的结构

On structure of eigenvectors of bicyclic mixed graphs
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摘要 对于非奇异单圈混合图,范益政给出了其最小特征值所对应特征向量的一个很好结构性质。对于非奇异双圈混合图,本文对双圈点数较少的若干图进行讨论,发现其最小特征值所对应的特征向量与单圈混合图的情形有类似的结构性质。 In the case of being a unicyclic mixed graph, Fan Yi-Zheng gives a remarkable result on the structure of the eigenvectors corresponding to its smallest eigenvalue. In this paper, we discuss some bicyclic mixed graphs which have few vertices on the bicycles, and find the eigenvectors corresponding to their smallest eigenvalues have similar structure properties to those of uncyclic mixed graphs.
出处 《安徽建筑工业学院学报(自然科学版)》 2006年第1期6-9,共4页 Journal of Anhui Institute of Architecture(Natural Science)
基金 安徽建筑工业学院青年科研基金(200510307) 安徽理工大学青年科学基金(2005)
关键词 LAPLACE矩阵 特征向量 Laplacian matrix cycle eigenvector
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参考文献7

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