AU - Nikandish, Reza TI - Some Properties of the Nil-Graphs of Ideals of Commutative Rings PT - JOURNAL ARTICLE TA - khu-mmr JN - khu-mmr VO - 8 VI - 4 IP - 4 4099 - http://mmr.khu.ac.ir/article-1-3071-en.html 4100 - http://mmr.khu.ac.ir/article-1-3071-en.pdf SO - khu-mmr 4 ABĀ  - Let R be a commutative ring with identity and Nil(R) be the set of nilpotent elements of R. The nil-graph of ideals of R is defined as the graph AG_N(R) whose vertex set is {I:(0)and there exists a non-trivial ideal such that and two distinct vertices and are adjacent if and only if . Here, we study conditions under which is complete or bipartite. Also, the independence number of is determined, where is a reduced ring. Finally, we classify Artinian rings whose nil-graphs of ideals have genus at most one. CP - IRAN IN - R.nikandish@ipm.ir LG - eng PB - khu-mmr PG - 238 PT - Original Manuscript YR - 2022