We present a structure theorem for vector partition functions. The proof rests on a formula due to Peter McMullen for counting lattice points in rational convex polytopes. © 1995.
Sturmfels, B. (1995). On vector partition functions. Journal of Combinatorial Theory, Series A, 72(2), 302–309. https://doi.org/10.1016/0097-3165(95)90067-5