DescriptionIn this work we will study the universal labeling algebra A(Γ), a related algebra B(Γ), and their behavior as invariants of layered graphs. We will introduce the notion of an upper vertex-like basis, which allows us to recover structural information about the graph Γ from the algebra B(Γ). We will use these bases to show that several classes of layered graphs are uniquely identifi ed by their corresponding algebras B(Γ). We will use the same techniques to construct large classes of nonisomorphic graphs with isomorphic B(Γ). We will also explore the graded structure of the algebra A(Γ), using techniques developed by C. Duff y, I. Gelfand, V. Retakh, S. Serconek and R. Wilson to find formulas for the Hilbert series and graded trace generating functions of A(Γ) when is the Hasse diagram of a direct product of partially ordered sets.