Hypergraphs with Spectral Radius between Two Limit Points
Received:May 23, 2016  Revised:September 22, 2017
Key Word: $r$-uniform hypergraphs   spectral radius   $\alpha$-normal  
Fund ProjectL:Supported by the National Natural Science Foundation of China (Grant Nos.11601368; 11401434; 11771322).
Author NameAffiliation
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 
Hits: 3285
Download times: 1932
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
View Full Text  View/Add Comment  Download reader