  Spin network technique is usually generalized to relativistic case by
changing $SO(4)$ group -- Euclidean counterpart of the Lorentz group -- to its
universal spin covering $SU(2)\times SU(2)$, or by using the representations of
$SO(3,1)$ Lorentz group. We extend this approach by using inhomogeneous Lorentz
group $\mathcal{P}=SO(3,1)\rtimes \mathbb{R}^4$, which results in the
simplification of the spin network technique. The labels on the network graph
corresponding to the subgroup of translations $\mathbb{R}^4$ make the
intertwiners into the products of $SU(2)$ parts and the energy-momentum
conservation delta functions. This maps relativistic spin networks to usual
Feynman diagrams for the matter fields.
