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The co-prime power order graph of a finite group | ||
| Journal of Algebra and Related Topics | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 13 بهمن 1403 | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2024.24886.1547 | ||
| نویسنده | ||
| A. A. Talebi* | ||
| Faculty of Mathematics, University of Mazandaran | ||
| چکیده | ||
| In this study, we generalized the co-prime graph of a finite group that called the co-prime power order graph of a finite group. It is denoted by βG, and its vertex set is G such that two distinct vertices x and y are adjacent if and only if gcd(|x|, |y|) =pn, where p is a prime number, and n ∈ Z+ ∪{0}. We characterized complete graphs and planer graphs on the co-prime power order graphs, and investigated some properties of graph βG for some groups such as cyclic groups, dihedral groups, and the generalized quaternion groups, and obtained the vertex-connectivity of them.In finally, we characterized some induced subgraph of co-prime power order graph for some finite groups. | ||
| کلیدواژه‌ها | ||
| Cyclic group؛ Dihedral group؛ Generalized quaternion group؛ Co-prime order graph | ||
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آمار تعداد مشاهده مقاله: 48 |
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