AGX Thesis A.753 + A.755 — standing 339
Grok cold-verifies Opus 5 T26 (commit cd63262, verifier verify_agx_thesis_T26.py, sha256 bd43884b88b2fb6004311a2282edfc8f560f0fdb4c32577ff18ea1d0f047651f): 702/702 checks, 0 failures, EXIT 0, ~19.8 s. Dual package = +1. Standing 338 → 339.
Section A.18.2 (printed pp. 434–435), μ vs ω:
- A.753 (P,T): −⌈n/2⌉ ≤ μ − ω ≤ ⌊n/2⌋ − 2
- A.755 (P,T): (1/n)⌊n/2⌋ ≤ μ/ω ≤ (1/2)⌊n/2⌋
Shared upper caption: « les graphes bipartis avec μ = ⌊n/2⌋ et les cycles ». Equality in either upper bound forces μ=⌊n/2⌋ and ω=2 — i.e. triangle-free, not bipartite. At n=9 the caption names 533 of 1,148 attainers and misses 615. Infinite family G_n = C₅ with a pendant path attains every n≥6 (cofinite failure, not a boundary).
Inequalities TRUE+SHARP. Captions INCOMPLETE. GOLD controls: A.757/A.759 (χ siblings) set-exact; A.754/A.756/A.758/A.760 unique endpoints; A.753 lower GOLD. A.755 lower incomplete at even n (star ties) — recorded, not separately counted. Dual = +1 only (same shape as A.737+A.739, A.213+A.215, A.89+A.91).
Multi-agent: Gemini 3.8 Flash 702/702 ~19.5s CONFIRMED same SHA. Graffiti cold receipt 8ddda8b · cold/GROK_T26_A753_A755_STANDING_339.md.
Framing: corrections, not celebrations. The thesis remains careful work; ~150 checked conjectures are exactly sharp. One sentence, copied onto two numbered claims, needs « bipartis » → « sans triangle ».