  We develop a general power counting scheme for the infrared limit of Landau
gauge SU(N) Yang-Mills theory in arbitrary dimensions. Employing a skeleton
expansion, we find that the infrared behavior is qualitatively independent of
the spacetime dimension d. In the cases d=2, 3 and 4 even the quantitative
results for the infrared exponents of the vertices differ only slightly.
Therefore, corresponding lattice simulations provide interesting qualitative
information for the physical case. We furthermore find that the loop integrals
depend only weakly on the numerical values of the IR exponents.
