Hypergraphs with Spectral Radius between two Limit Points
Hypergraphs with Spectral Radius between two Limit Points

DOI：

 作者 单位 E-mail 满守东 天津财经大学数学系 manshoudong@163.com

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.