THE SPECTRAL DETERMINATION OF THE MULTICONE GRAPHS Kw ▽ C WITH RESPECT TO THEIR SIGNLESS LAPLACIAN SPECTRA

نویسندگان
Zeydi Abdian, A. ID 1
Fath-Tabar, Gh. H. ID 2
Rahmani Moghaddam, M. ID 3

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.

doi
10.22044/jas.2018.5879.1292
چکیده

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.

کلیدواژه‌ها
Clebsch graph, DS graph, Signless Laplacian spectra, Multicone graph