Towards a K-theoretic characterization of graded isomorphisms between Leavitt path algebras
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Hazrat gave a K-theoretic invariant for Leavitt path algebras as graded algebras. Hazrat conjectured that this invariant classiﬁes Leavitt path algebras up to graded isomorphism, and proved the conjecture in some cases. In this paper, we prove that a weak version of the conjecture holds for all ﬁnite essential graphs.