| 有向图反能量的一个注记 |
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| 引用本文： | 崔淑玉,田贵贤.有向图反能量的一个注记[J].数学学报,2013(3):401-408. |
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| 作者姓名： | 崔淑玉 田贵贤 |
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| 作者单位： | 浙江师范大学行知学院;浙江师范大学数理与信息工程学院 |
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| 基金项目： | 国家自然科学基金数学大元项目(11126258);浙江省自然科学基金资助项目(LY12A01006);浙江省教育厅资助项目(Y201225862) |
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| 摘 要： | 有向图的反能量是指有向图的反邻接矩阵的能量.本文利用有向图的运算构造出了几类有向图,它们中的每一个都满足有向图的反能量等于其底图的能量.部分回答了Adiga等人在文The skew energy of a digraph,Linear Algebra Appl.,2010,432:1825-1835]中提出的一个公开问题.
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| 关 键 词： | 有向图 反邻接矩阵 反能量 底图 |
A Note on the Skew Energy of Digraphs |
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| Shu Yu CUI Xingzhi College,Zhejiang Normal University,Jinhua,P.R.China Gui Xian TIAN.A Note on the Skew Energy of Digraphs[J].Acta Mathematica Sinica,2013(3):401-408. |
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| Authors: | Shu Yu CUI Xingzhi College Zhejiang Normal University Jinhua PRChina Gui Xian TIAN |
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| Institution: | College of Mathematics,Physics and Information Engineering,Zhejiang Normal University, Jinhua 321004,P.R.China |
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| Abstract: | The skew energy■_S(D) of a digraph D is defined as the energy of its skewadjacency matrix.In this paper,employing many operations of digraphs,we construct several classes of digraphs,each one of which satisfies its skew energy is the same as the energy of its underlying graph.This work partly answers a problem proposed by Adiga et al.The skew energy of a digraph,Linear Algebra Appl.,2010,432:1825-1835]. |
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| Keywords: | digraph skew-adjacency matrix skew energy underlying graph |
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