| 对谱半径至多为$\sqrt[r]{2+\sqrt{5}}$的超图的分类研究 |
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| 引用本文： | 满守东,陆临渊.对谱半径至多为$\sqrt[r]{2+\sqrt{5}}$的超图的分类研究[J].数学研究及应用,2019,39(2):111-131. |
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| 作者姓名： | 满守东 陆临渊 |
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| 作者单位： | 天津财经大学数学系, 天津 300222,南卡罗来纳大学数学系, 美国南卡罗来纳州哥伦比亚 29208 |
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| 基金项目： | 国家自然科学基金(Grant No.11601368). |
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| 摘 要： | 在本文,我们研究谱半径至多为$\sqrtr]{2+\sqrt{5}}$的超图.我们得到此种超图必须具有一个基普结构,这与Woo-Neumaier在2007年对谱半径至多为$\frac{3}{2}\sqrt{2}$的图的分类结果类似.
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| 关 键 词： | $r$-一致超图 谱半径 $\alpha$-正则 |
| 收稿时间： | 2018/2/6 0:00:00 |
| 修稿时间： | 2018/12/11 0:00:00 |
Hypergraphs with Spectral Radius at Most $\sqrt[r]{2+\sqrt{5}}$ |
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| Shoudong MAN and Linyuan LU.Hypergraphs with Spectral Radius at Most $\sqrt[r]{2+\sqrt{5}}$[J].Journal of Mathematical Research with Applications,2019,39(2):111-131. |
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| Authors: | Shoudong MAN and Linyuan LU |
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| Institution: | Department of Mathematics, Tianjin University of Finance and Economics, Tianjin 300222, P. R. China and Department of Mathematics, University of South Carolina, Columbia, SC 29208, USA |
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| Abstract: | In this paper, we consider the $r$-uniform hypergraphs $H$ with spectral radius at most $\sqrtr]{2+\sqrt{5}}$. We show that $H$ must have a quipus-structure, which is similar to the graphs with spectral radius at most $\frac{3}{2}\sqrt{2}$ Woo-Neumaier, Graphs Combin. 2007]. |
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| Keywords: | $r$-uniform hypergraphs spectral radius $\alpha$-normal |
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