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Paper IPM / M / 11640  


Abstract:  
For a simple undirected graph G, the corresponding signless Laplacian matrix is
defined as D(G) + A(G) in which D(G) and A(G) are degree matrix and adjacency matrix of G,
respectively. The graph G is said to be determined by its signless Laplacian spectrum, if any graph
having the same signless Laplacian spectrum as G is isomorphic to G. Also the Sun graph of order
2n is a cycle C_{n} with an edge terminating in a pendent vertex attached to each vertex. Among other
things, one result in this paper is that the Sun graphs are determined by their signless Laplacian
spectrum.
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