| Hypergraphs with Spectral Radius between Two Limit Points |
| Received:May 23, 2016 Revised:September 22, 2017 |
| 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 Nos.11601368; 11401434; 11771322). |
| Author Name | Affiliation | | Shoudong MAN | Department of Mathematics, Tianjin University of Finance and Economics, Tianjin 300222, P. R. China | | Linyuan LU | Department of Mathematics, University of South Carolina, Columbia, SC 29208, USA | | Shuhua ZHANG | Department of Mathematics, Tianjin University of Finance and Economics, Tianjin 300222, P. R. China |
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| Abstract: |
| In this paper, we set $\rho_r=\sqrt[r]{4}$ and $\rho_r'=\beta^{-1/r}$, where $\beta=-\frac{1}{6}\cdot(100+12\cdot \sqrt{69})^{\frac{1}{3}}-\frac{2}{3\cdot(100+12\cdot\sqrt{69})^{\frac{1}{3}}}+\frac{4}{3}\approx 0.2451223338$. We consider connected $r$-uniform hypergraphs with spectral radius between $\rho_r$ and $\rho_r'$ and give a description of such hypergraphs. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2018.01.001 |
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