@article {
author = {Purohit, Krishna and Parejiya, Jaydeep},
title = {SOME PROPERTIES OF SUPER-GRAPH OF (G (R))^c AND ITS LINE GRAPH},
journal = {Journal of Algebraic Systems},
volume = {11},
number = {2},
pages = {93-112},
year = {2024},
publisher = {Shahrood University of Technology},
issn = {2345-5128},
eissn = {2345-511X},
doi = {10.22044/jas.2022.12098.1628},
abstract = {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.},
keywords = {G(R),line graph,SPIR},
url = {https://jas.shahroodut.ac.ir/article_2733.html},
eprint = {https://jas.shahroodut.ac.ir/article_2733_0d8a6563070e57797521e004c7b8cd4c.pdf}
}