@article {10.3844/jmssp.2012.82.84, article_type = {journal}, title = {A Kind of Intersection Graphs on Ideals of a Ring}, author = {Talebi, A. A.}, volume = {8}, year = {2012}, month = {Feb}, pages = {82-84}, doi = {10.3844/jmssp.2012.82.84}, url = {https://thescipub.com/abstract/jmssp.2012.82.84}, abstract = {Problem statement: Let R be a ring. The graph G(R) is the graph whose vertices are nontrivial ideal of R and in which two vertices u, v are joined by an edge, if and only if u ∩ v #{0}. Approach: In this study we study some properties of G(R). Results: We obtain conditions of R such that G(R) is a path and determine the graph G(R) in which it is a tree. Conclusion: We conclude that ideals of R have degree one.}, journal = {Journal of Mathematics and Statistics}, publisher = {Science Publications} }