  We calculate the chiral condensate of QCD at infinite coupling as a function
of the number of fundamental fermion flavours using a lattice diagrammatic
approach inspired by recent work of Tomboulis, and other work from the 80's. We
outline the approach where the diagrams are formed by combining a truncated
number of sub-diagram types in all possible ways. Our results show evidence of
convergence and agreement with simulation results at small Nf. However,
contrary to recent simulation results, we do not observe a transition at a
critical value of Nf. We further present preliminary results for the chiral
condensate of QCD with symmetric or adjoint representation fermions at infinite
coupling as a function of Nf for Nc = 3. In general, there are sources of error
in this approach associated with miscounting of overlapping diagrams, and
over-counting of diagrams due to symmetries. These are further elaborated upon
in a longer paper.
