  The main aim of this study is to characterize new classes of multicone graphs
which are determined by their signless Laplacian spectra, their Laplacian
spectra and their adjacency spectra. A multicone graph is defined to be the
join of a clique and a regular graph. Let P and Kw denote the Petersen graph
and a complete graph on w vertices, respectively. In this paper, we show that
multicone graphs Kw+P are determined by their signless Laplacian spectra, their
Laplacian spectra and their adjacency spectra. Keywords: DS graph; Multicone
graph; Signless Laplacian spectrum; Petersen graph.
