Generalizing the point-like interactions of standard ``local'' QFT to combinatorially non-local interactions preserves locality in the sense of renormalization. The crucial difference is that residues come with an additional graph structure. Still, the standard Hopf-algebraic structure of (perturbative) renormalization applies. I show how this facilitates renormalization in the case of the BPHZ momentum scheme and give an outlook on non-perturbative applications.
Keywords: Hopf Algebra; Quantum Field Theory; Combinatorial Non-locality