TY - JOUR
ID - 2733
TI - SOME PROPERTIES OF SUPER-GRAPH OF (G (R))^c AND ITS LINE GRAPH
JO - Journal of Algebraic Systems
JA - JAS
LA - en
SN - 2345-5128
AU - Purohit, Krishna Lalitkumar
AU - Parejiya, Jaydeep Harjibhai
AD - Department of Applied Sciences, RK University, P.O. Box 360003, Rajkot, India.
AD - Department of Mathematics, Government Polytechnic, P.O. Box 360003, Rajkot,
India.
Y1 - 2024
PY - 2024
VL - 11
IS - 2
SP - 93
EP - 112
KW - G(R)
KW - line graph
KW - SPIR
DO - 10.22044/jas.2022.12098.1628
N2 - 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.
UR - https://jas.shahroodut.ac.ir/article_2733.html
L1 - https://jas.shahroodut.ac.ir/article_2733_0d8a6563070e57797521e004c7b8cd4c.pdf
ER -