  Two programs, feyngen and feyncop, were developed. feyngen is designed to
generate high loop order Feynman graphs for Yang-Mills, QED and $\phi^k$
theories. feyncop can compute the coproduct of these graphs on the underlying
Hopf algebra of Feynman graphs. The programs can be validated by exploiting
zero dimensional field theory combinatorics and identities on the Hopf algebra
which follow from the renormalizability of the theories. A benchmark for both
programs was made.
