A new approach for constructing graph being determined by their generalized $Q$-spectrum

Liwen Gao, Xuejun Guo

Given a graph $G$, we have the adjacency matrix $A(G)$ and degree diagonal matrix $D(G)$. The $Q$-spectrum is the all eigenvalues of $Q$-matrix $Q(G)=A(G)+D(G)$. A class of graphs…