مشخصات پژوهش

. In A.Z. Abdian, Two classes of multicone graphs determined by their spectra, J. Math. Ext., 10 (2016), 111–121, it was conjectured that the complement of the multicone graphs, the join of a clique and a regular graph, K w 5P 17 and K w 5S, are determined by their adjacency spectra, where P 17 and S denote the Paley graph of order 17 and the Schl?fli graph, respectively. In this article, we aim to answer to these conjectures.