results on signless laplacian spectral characterization of broken graphs

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