SOME PROPERTIES OF SUPER-GRAPH OF (G (R))^c AND ITS LINE GRAPH
Publish place: Journal of Algebraic Systems، Vol: 11، Issue: 2
Publish Year: 1403
Type: Journal paper
Language: English
View: 153
This Paper With 21 Page And PDF Format Ready To Download
- Certificate
- I'm the author of the paper
Export:
Document National Code:
JR_JAS-11-2_007
Index date: 4 July 2023
SOME PROPERTIES OF SUPER-GRAPH OF (G (R))^c AND ITS LINE GRAPH 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.
SOME PROPERTIES OF SUPER-GRAPH OF (G (R))^c AND ITS LINE GRAPH Keywords:
SOME PROPERTIES OF SUPER-GRAPH OF (G (R))^c AND ITS LINE GRAPH authors
Krishna Purohit
Department of Applied Sciences, RK University, P.O. Box ۳۶۰۰۰۳, Rajkot, India.
Jaydeep Parejiya
Department of Mathematics, Government Polytechnic, P.O. Box ۳۶۰۰۰۳, Rajkot, India.
مراجع و منابع این Paper:
لیست زیر مراجع و منابع استفاده شده در این Paper را نمایش می دهد. این مراجع به صورت کاملا ماشینی و بر اساس هوش مصنوعی استخراج شده اند و لذا ممکن است دارای اشکالاتی باشند که به مرور زمان دقت استخراج این محتوا افزایش می یابد. مراجعی که مقالات مربوط به آنها در سیویلیکا نمایه شده و پیدا شده اند، به خود Paper لینک شده اند :