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Signless Laplacian spectral determinations of some multicone graphs | ||
| Caspian Journal of Mathematical Sciences (CJMS) | ||
| دوره 12، شماره 1 - شماره پیاپی 23، شهریور 2023، صفحه 148-153 اصل مقاله (96.55 K) | ||
| 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 | ||
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آمار تعداد مشاهده مقاله: 164 تعداد دریافت فایل اصل مقاله: 80 |
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