SOME PROPERTIES OF SUPER-GRAPH OF (G (R))^c AND ITS LINE GRAPH | ||
| Journal of Algebraic Systems | ||
| دوره 11، شماره 2، فروردین 2024، صفحه 93-112 اصل مقاله (712.18 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2022.12098.1628 | ||
| نویسندگان | ||
| Krishna Lalitkumar Purohit1؛ Jaydeep Harjibhai Parejiya* 2 | ||
| 1Department of Applied Sciences, RK University, P.O. Box 360003, Rajkot, India. | ||
| 2Department of Mathematics, Government Polytechnic, P.O. Box 360003, Rajkot, India. | ||
| چکیده | ||
| Let R be a commutative ring with identity 1≠0. The comaximal ideal graph of R is the simple, undirected graph whose vertex set is the set of all proper ideals of the ring R not contained in Jacobson radical of R and two vertices I and J are adjacent in this graph if and only if I+J=R. In this article, we have discussed the graph G(R) whose vertex set is the set of all proper ideals of ring R and two vertices I and J are adjacent in this graph if and only if I+J≠R. In this article, we have discussed some interesting results about G(R) and its line graph. | ||
| کلیدواژهها | ||
| G(R)؛ line graph؛ SPIR | ||
| مراجع | ||
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