In 1991 Bendersky and Gitler give a spectral sequence converging to the cohomology of the configuration space MΓ depending on a graph Γ. Later, Baranovsky and Sazdanovi´c show that the E1 page of this spectral sequence is a graph cohomology complex. We first compare this complex with the Kontsevich type of graph complex and then with the differential graded algebra given by Kriz and Totaro as model for the rational homotopy type of the configuration space. In particular we show that there is a quasi equivalence between the dual of the Baranovsky and Sazdanovi´c’s graph complex and the dg algebra (as complex) given by Kriz and Totaro.