Abstract
Let n ≥ 2. A Jacobson graph over ℤ n is a graph with vertex set all elements in ℤ n except elements in its Jacobson radical, and x and y are adjacent if and only if 1 − xy is not relative prime to n. In this paper, we give a characterization of Jacobson graph over ℤ n as a foundation for Jacobson graph over a finite commutative ring.
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