laplacian and signless laplacian matrix

Question

Let $L(G)$ and $Q(G)$ be the Laplacian matrix and Signless laplacian matrix for a graph $G$. By definition, $L(G) = D(G)-A(G)$ and $Q(G) = D(G) + A(G)$, where $D(G)$ is the degree matrix for $G$ and $A(G)$ be its adjacency matrix. My doubt is that, “Does $L(G)$ and $Q(G)$ have the same properties for any graph $G$?”