Two Classes of Multicone Graphs Determined by Their Spectra

A multicone graph is defined to be the join of a clique and a regular graph. In [1], new classes of multicone graphs have been characterized that are determined by their spectra. In this work, we present new classes of multicone graphs that are determined by their adjacency spectrum. Also, we show that these graphs are determined by their Laplacian spectrum. Finally, four problems for further research are proposed.