| 正则竞赛矩阵的数目和竞赛矩阵的整数特征值 |
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| 引用本文： | 侯耀平.正则竞赛矩阵的数目和竞赛矩阵的整数特征值[J].数学学报,1998,41(5):1053-1060. |
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| 作者姓名： | 侯耀平 |
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| 作者单位： | 北京师范大学数学系 |
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| 摘 要： | 本文给出了ｎ阶正则竞赛矩阵的数目的一个下界，该下界优于文献中的结果；讨论了正竞赛矩阵的性质；得到了整数１为竞赛矩阵的特征值的等价条件及这类矩阵的谱根与得分向量之间的关系．
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| 关 键 词： | 竞赛矩阵，正则竞赛矩阵，正竞赛矩阵，得分向量，谱根 |
On the Number of Regular Tournament Matrices and Integral Eigenvalue of Tournament Matrices |
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| Hou Yaoping.On the Number of Regular Tournament Matrices and Integral Eigenvalue of Tournament Matrices[J].Acta Mathematica Sinica,1998,41(5):1053-1060. |
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| Authors: | Hou Yaoping |
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| Institution: | Hou Yaoping (Department of Mathematics, Beijing Normal University, Beining 100875, China) |
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| Abstract: | In this paper we give a better lower bound for the number of regular tournament matrices, and obtain some properties of positive tournament matrices, we also find several conditions which are equivalent to tournament matrix having 1 as its eigenvalue. |
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| Keywords: | Tournament matrix Regular tournament matrix Positive tournament matrix Score vector Spectral radius |
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