Shahrood University of TechnologyJournal of Algebraic Systems2345-51287220200101THE SPECTRAL DETERMINATION OF THE MULTICONE GRAPHS Kw ▽ C WITH RESPECT TO THEIR SIGNLESS LAPLACIAN SPECTRA131141158410.22044/jas.2018.5879.1292ENA.Zeydi AbdianDepartment of Mathematical Sciences, Lorestan University, Lorestan, Khoramabad,
Iran.Gh. H.Fath-TabarDepartment of Pure Mathematics, Faculty of Mathematical Sciences, University
of Kashan, Kashan 87317-53153, Iran.M.Rahmani MoghaddamDepartment of Mathematics, Bu-Ali Sina University, Hamadan, Iran.Journal Article20170616The main aim of this study is to characterize new classes of multicone graphs which are determined by their signless Laplacian spectra. A multicone graph is defined to be the join of<br /> a clique and a regular graph. Let C and K w denote the Clebsch graph and a complete graph on w vertices, respectively. In this paper, we show that the multicone graphs K w ▽C are determined by their signless Laplacian spectrum.http://jas.shahroodut.ac.ir/article_1584_263d68e7f82f30f4fffed73b805e5a47.pdf