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We seek to classify the sets of zero-divisors that form ideals based on their zero-divisor graphs. We offer full classification of these ideals within finite commutative rings with identity. We also provide various results concerning the realizability of a graph as a zero-divisor graph. MSC2000: 13A99.doi:10.2140/involve.2009.2.17 fatcat:bze67u4zhjdojniqzujztvmqpe