HSG-topology

Classify each topology-deduplicated Hamiltonian spectral graph into one of 1,401 characteristic-polynomial classes.

HSG-topology retains one representative of every graph-isomorphism class within each polynomial class, leaving 1,812,325 spatial multigraphs with a largest-to- smallest class-size ratio of 660.2.

The variant is designed around unique connectivity patterns. Spatial multi-edge information remains available in the HSG representation, but topology-only models can deliberately omit it for the combinatorial experiment.

The official stratified random split is 80/10/10 and evaluation reports accuracy averaged over three seeds.

This is the only deliberately imbalanced HSG static variant. Plain accuracy is dominated by large classes; balanced metrics are useful diagnostics but are not the published headline. Isomorphism filtering must be performed within each class.