Four more of Graffiti's “Written on the Wall” conjectures — all unattributed, all surviving the 1990–91 Los Alamos Cray sweep — fell to two beautiful objects. First, conjecture 654 (“minimum of Even ≤ χ(G) + χ(Ḡ)”, Feb 14 1989) dies on rook's graphs. The structure theorem is three lines: every neighbour of v is at odd distance, so min Even ≤ n − Δ; Nordhaus–Gaddum gives χ + χ̄ ≥ 2√n; and when diam(G) ≤ 2 every non-neighbour is at distance exactly 2, so min Even = n − Δ exactly. On the k×k rook's graph K_k□K_k (n = k², diameter 2, χ = χ̄ = k) the left side is n − 2k + 2 and the right side is…