  We develop a technique to formulate quantum field theory on arbitrary
network, based on different, randomly disposed sets of scattering's. We define
R-matrix of the whole network as a product of R-matrices attached to each of
scattering nods. Then an action for a network in terms of fermionic fields is
formulated, which allows to calculate the transition amplitudes as their Green
functions. On so-called bubble and triangle diagrams it is shown that the
method produces the same results as the one which uses the generalized star
product. The approach allows to extend network models by including
multiparticle interactions at the scattering nods.
