Separating modules of support-degree k equate to O(k)-subgraph counts, those of symmetric circuit size n^Θ(k) equate to Θ(k)-WL, and their multiplicities equate to differing automorphism cycle indices.
[DIP20] Julian D¨ orfler, Christian Ikenmeyer, and Greta Panova
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Graph Isomorphism and Representation Theory
Separating modules of support-degree k equate to O(k)-subgraph counts, those of symmetric circuit size n^Θ(k) equate to Θ(k)-WL, and their multiplicities equate to differing automorphism cycle indices.