Small extended formulations for group-constrained flows and cographic integer hulls

We construct small extended formulations for nonnegative integer flows whose arc labels have a prescribed sum in a finite abelian group. For circulations, the formulation is a single integral network that combines cycles even when they lie in different components. This yields an O(Δn²) bound for strictly Δ-modular cographic integer hulls of translated cones, improving … Read more