| 恰有两个主特征值的图的性质 |
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| 引用本文： | 孙德荣,李硕.恰有两个主特征值的图的性质[J].数学的实践与认识,2011,41(16). |
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| 作者姓名： | 孙德荣 李硕 |
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| 作者单位： | 昌吉学院数学系,新疆昌吉,831100 |
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| 基金项目： | 新疆高校青年基金(XJEDU2009S101); 昌吉学院科学研究基金(2010YJYB006) |
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| 摘 要： | 设λ是图G的一个特征值,如果存在属于λ的一个特征向量X=(x_1,x_2,…,x_n)~T,使得(?)x_i≠0,则λ称为图G的主特征值.将恰有两个主特征值的一个充要条件做了进一步推广,并在此基础上给出恰有两个主特征值的图的一些性质以及恰有两个主特征值的图的一些运算结果.
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| 关 键 词： | 主特征值 2-途径(a b)-线图 途径数 |
The Property Of Graphs With Exactly Two Main Eigenvalues |
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| SUN De-rong,LI Shuo.The Property Of Graphs With Exactly Two Main Eigenvalues[J].Mathematics in Practice and Theory,2011,41(16). |
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| Authors: | SUN De-rong LI Shuo |
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| Institution: | SUN De-rong,LI Shuo (Changji College,Math Department,Changji 831100,China) |
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| Abstract: | An eigenvalue of a graph is called a main eigenvalue if it has an eigenvector such that the sum of whose entries is not zero.Throughout this paper,a necessary and sufficient condition on graphs with exactly two main eigenvalues generalized.It gives some property of graphs with exactly two main eigenvalues and some operation results of graphs. |
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| Keywords: | Main eigenvalue 2-walk(a b)-linear graph The numbers of walk |
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