Document Type : Original Manuscript


1 Department of Mathematical Sciences, Lorestan University, Lorestan, Khoramabad, Iran.

2 Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan 87317-53153, Iran.

3 Department of Mathematics, Bu-Ali Sina University, Hamadan, Iran.


The 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
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.