On the number of factorable induced subgraphs

What the math gives to ML

The paper develops a lattice-and-coset description of divisibility obstructions for packing copies of a fixed graph into dense induced subgraphs. Its transferable asset is not the specific F-factor theorem, but the representation of feasible count vectors as integer lattice points and residual obstructions as elements of a finite quotient group. This suggests a lattice-aware mixture-of-experts router that detects modular load imbalance and performs a small repair assignment rather than relying only on soft load-balancing penalties.