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Abstract
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. 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.
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