Hypergraphs with Spectral Radius between two Limit Points
Received:May 23, 2016  Revised:March 14, 2017
Key Word: $r$-uniform hypergraphs, spectral radius, $\alpha$-normal
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 Author Name Affiliation E-mail Shoudong Man Tianjin University of Finance and Economics manshoudong@163.com
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In this paper, we set $\rho_r=(r-1)!\sqrt[r]{4}$ and $\rho_r"=(r-1)!\beta^{-1/r}$, 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 $\rho_r"$. We give a description of such hypergraphs.