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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, Kw 5P17 and Kw 5S, are determined by their adjacency spectra,
where P17 and S denote the Paley graph of order 17 and the Schlafli graph, ¨
respectively. In this article, we aim to answer to these conjectures.
Ali Zeydi Abdian, Sara Pouyandeh, Reza Sharafdini. (2019) Adjacency spectral characterization of the graphs Kw 5 P17 and Kw 5 S, Punjab University Journal of Mathematics, Volume 51, Issue 12.
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