On the $\alpha$-spectral radius of hypergraphs

Haiyan Guo, Bo Zhou, Bizhu Lin

For real $\alpha \in [0,1)$ and a hypergraph $G$, the $\alpha$-spectral radius of $G$ is the largest eigenvalue of the matrix $A_{\alpha }(G)=\alpha D(G)+(1-\alpha )A(G)$, where $A(G)$ is the adjacency matrix of…