SOME RESULTS ON THE COMPLEMENT OF THE INTERSECTION GRAPH OF SUBGROUPS OF A FINITE GROUP | ||
| Journal of Algebraic Systems | ||
| مقاله 1، دوره 7، شماره 2، فروردین 2020، صفحه 105-130 اصل مقاله (243.84 K) | ||
| نوع مقاله: Research Note | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2018.5917.1296 | ||
| نویسندگان | ||
| S. Visweswaran* ؛ P. Vadhel | ||
| Department of Mathematics, Saurashtra University P.O.Box 360 005, Rajkot, India. | ||
| چکیده | ||
| Let G be a group. Recall that the intersection graph of subgroups of G is an undirected graph whose vertex set is the set of all nontrivial subgroups of G and distinct vertices H,K are joined by an edge in this graph if and only if the intersection of H and K is nontrivial. The aim of this article is to investigate the interplay between the group-theoretic properties of a finite group G and the graph-theoretic properties of the complement of the intersection graph of subgroups of G. | ||
| کلیدواژهها | ||
| Complement of the intersection graph of subgroups of a finite group؛ finite abelian group؛ connected graph؛ girth of a graph | ||
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آمار تعداد مشاهده مقاله: 847 تعداد دریافت فایل اصل مقاله: 956 |
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