رضا شرف دینی

A graph G is said to be (DLS) DQS if there is no other non-isomorphic graph with the same (Laplacian spectrum) signless Laplacian spectrum as G. A sun graph SG(p) is obtained by appending a pendant vertex to any vertices of a cycle Cp and a broken sun graph BSG(p, q) is a graph obtained by deleting p − q pendant vertices of a sun SG(p). We obtain some results related to the graphs that their signless Laplacian eigenvalues are the same as the signless Laplacian eigenvalues of a broken sun graph.