Line idempotent graph of some commutative rings
Abstract
Let X be a finite commutative ring with unity and Id(X) be the set of idempotent elements of X. The idempotent graph G_Id(X) of X is a simple undirected graph with all elements of X as vertices and two distinct vertices x, y are adjacent if and only if x + y ∈ Id(X). In this paper, we have considered the idempotent graph of some commutative rings and investigated those graph and their complement for being line graphs.
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