The general spectral radius and majorization theorem of $t$-cone graphs with given degree sequences

Yufei Huang, Muhuo Liu

The general spectral radius of a graph $G$, denoted by $\Theta (G,\alpha )$, is the maximal eigenvalue of $M_{\alpha }(G)=A(G)+\alpha D(G)$ $(\alpha \ge 0)$, where $A(G)$ and $D(G)$ are the adjacency matrix and…