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Paper   IPM / M / 11640
School of Mathematics
  Title:   The sun graph is determined by its signless Laplacian spectrum
  Author(s):  D. Kiani (Joint with M. Mirzakhah)
  Status:   Published
  Journal: ELA
  Vol.:  20
  Year:  2010
  Pages:   610-620
  Supported by:  IPM
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 Cn 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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