@article{Sharafdini_Abdian_2018, title={Signless Laplacian determinations of some graphs with independent edges}, volume={10}, url={https://journals.pnu.edu.ua/index.php/cmp/article/view/1481}, DOI={10.15330/cmp.10.1.185-196}, abstractNote={<p>Let $G$ be a simple undirected graph. Then the signless Laplacian matrix of $G$ is defined as $D_G + A_G$ in which $D_G$ and $A_G$ denote the degree matrix and the adjacency matrix of $G$, respectively. The graph $G$ is said to be determined by its signless Laplacian spectrum (DQS, for short), if any graph having the same signless Laplacian spectrum as $G$ is isomorphic to $G$. We show that $G\sqcup rK_2$ is determined by its signless Laplacian spectra under certain conditions, where $r$ and $K_2$ denote a natural number and the complete graph on two vertices, respectively. Applying these results, some DQS graphs with independent edges are obtained.</p>}, number={1}, journal={Carpathian Mathematical Publications}, author={Sharafdini, R. and Abdian, A.Z.}, year={2018}, month={Jul.}, pages={185–196} }