  This work presents ideas for the determination of complete experiments using
graphs, which are based on a recently published, modified form of Moravcsik's
theorem. The lucid representation of complete experiments in terms of graphs,
which is at the heart of the theorem, leads to a fully automated procedure that
can determine complete experiments for in principle any reaction, i.e. for any
number of amplitudes $N$. For larger $N$ (i.e. $N \geq 4$), the sets determined
according to Moravcsik's theorem turn out to be slightly overcomplete. A new
type of directional graph has been proposed recently, which can decrease the
length of the complete sets of observables in some of these cases. The
presented results are relevant for reactions with larger numbers of
spin-amplitudes, which are at the center of interest in forthcoming
measurements, such as single-meson electroproduction $(N=6)$, two-meson
photoproduction $(N=8)$ or vector-meson photoproduction $(N=12)$.
