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.
Copyright (c) 2024 Osman Gani Mondal, Sk. Md. Abu Nayeem
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