  We compute the complete topological expansion of the formal hermitian
two-matrix model. For this, we refine the previously formulated diagrammatic
rules for computing the 1/ N expansion of the nonmixed correlation functions
and give a new formulation of the spectral curve. We extend these rules
obtaining a closed formula for correlation functions in all orders of
topological expansion. We then integrate it to obtain the free energy in terms
of residues on the associated Riemann surface.
