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关于混合图的谱扰动
引用本文:吴正飞,范益政. 关于混合图的谱扰动[J]. 大学数学, 2005, 21(1): 37-42
作者姓名:吴正飞  范益政
作者单位:淮南师范学院,数学系,安徽,淮南,232001;安徽大学,数学系,安徽,合肥,230039
基金项目:The project item of scientific research support for youth teachers of colleges and universities of Anhuiprovince (Grant No.2003jql01) and the project item of Anhui University for talent group construction.
摘    要:本文刻画了如下的混合图:在添加一个环时,它恰有一个 Laplace特征值以整数增加,其它的 Laplace特征值保持不变.本文是文章[Linear Algebra and its Applications 374(2003):307-316]的一个延续性的文章.

关 键 词:混合图  Laplace特征值  谱整性变化

On Spectral Perturbations of Mixed Graphs
WU Zheng-fei,FAN Yi-zheng. On Spectral Perturbations of Mixed Graphs[J]. College Mathematics, 2005, 21(1): 37-42
Authors:WU Zheng-fei  FAN Yi-zheng
Abstract:We characterize the mixed graphs with exactly one Laplacian eigenvalue moving up by an integer and other Laplacian eigenvalues remaining invariant when a loop is added. This paper is a subsequent one to that by Fan[Linear Algebra and its Applications 374(2003):307-316].
Keywords:mixed graphs  Laplacian eigenvalues  spectral integral variations
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