| Hypergraphs with Spectral Radius at Most $\sqrt[r]{2+\sqrt{5}}$ |
| Received:February 06, 2018 Revised:December 11, 2018 |
| Key Words:
$r$-uniform hypergraphs spectral radius $\alpha$-normal
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11601368). |
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| Abstract: |
| In this paper, we consider the $r$-uniform hypergraphs $H$ with spectral radius at most $\sqrt[r]{2+\sqrt{5}}$. 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]. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2019.02.001 |
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