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In this paper, we give a matrix-theoretic criterion for the Leavitt pathalgebra of a finite graph has Invariant Basis Number. Consequently, we showthat the Cohn path algebra of a finite graph has Invariant Basis Number, aswell as provide some certain classes of finite graphs for which Leavitt pathalgebras having Invariant Basis Number.

A criterion for Leavitt path algebras having invariant basis number