The inclusion ideal graph of a commutative ring R is a graph with vertex set Ψ where Ψ = {I : 0 = I ⊂ R, where I is an ideal of R and two distinct ideals I, J ∈ Ψ are adjacent if and only if I ⊂ J or J ⊂ I and it is expressed as In(R). In this paper, we list out all finite commutative rings whose In(R) is a path, a cycle or a tree. In addition, we classify all finite commutative rings for which the inclusion ideal graph is outer planar or planar.
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