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Signless Laplacian spectral determinations of some multicone graphs | ||
Caspian Journal of Mathematical Sciences (CJMS) | ||
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 22 اردیبهشت 1402 | ||
نوع مقاله: Research Articles | ||
شناسه دیجیتال (DOI): 10.22080/cjms.2023.24207.1632 | ||
نویسندگان | ||
Ali Zeydi Abdian* 1؛ Sara Pouyandeh2 | ||
1Department of Mathematics, Faculty of Sciences, Lorestan , Khorram abad, Iran. | ||
2Department of Mathematics, Payame Noor University, PO BOX 19395-3697, Tehran, Iran | ||
تاریخ دریافت: 02 شهریور 1401، تاریخ بازنگری: 30 دی 1401، تاریخ پذیرش: 08 بهمن 1401 | ||
چکیده | ||
If a clique and a regular graph are joined together the resulting graph is called a multicone graph. A graph $G$ is said to be determined by the spectrum of its signless Laplacian matrix (DQS, for short) if every graph with the same Laplacian spectrum is isomorphic to $G$. It is proved that all the multicone graphs $K_r\bigtriangledown sK_t$, except for $K_r\bigtriangledown 3K_1$, are DQS, where $K_r$ denots a complete graph with $r\geq 1$ vertices. Consequently, by using these results we give a response to an open problem in [24]. | ||
کلیدواژهها | ||
DQS graph؛ Signless Laplacian Matrix؛ Multicones | ||
آمار تعداد مشاهده مقاله: 84 |