on new classes of multicone graphs determined by their spectrums

a multicone graph is defined to be join of a clique and a regular graph. a graph $ g $ is  cospectral with  graph $ h $ if their adjacency matrices have the same eigenvalues. a graph $ g $ is  said to be  determined by its spectrum or ds for short, if for any graph $ h $ with $ spec(g)=spec(h)$, we conclude that $ g $ is isomorphic to $ h $. in this paper, we present new classes of  multicone graphs that  are ds with respect to their spectrums. also, we show that complement of these graphs are ds with respect to their adjacency spectrums. in addition, we show that  graphs cospectral with these graphs are perfect. finally, we  find automorphism group of these graphs and one conjecture for further researches is proposed.