coloring_nested_tire_graphs: threshold search at γ=13,14,15 — refined conjecture holds at γ=15
Completed 47-min threshold search using chunked enumeration. 18 pairs
tested; 4 non-strict-Latin counterexamples (all γ∈{13,14} paired with
T2 all-3 at k_2=15, structural mismatch from γ ∉ 3ℤ); 0 strict-Latin
threshold counterexamples.
γ=15 strict-Latin (all-3 ring) confirmed compatible: T1=T2=ring gives
|fwd|=|rev|=2976 ≈ 440 S_3-orbits. Mixed-config variants at γ=15 give
overlaps 2640-10752 (also large, also orbit-structured).
The refined Latin conjecture (m ≥ γ threshold) now holds across
γ ∈ {3, 6, 9, 12, 15} for all-3 configs.
Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>
didericis
3c1a548a01