{"schema":"vela.problem-packet.v0.1","problem":58,"statement":"If $G$ is a graph which contains odd cycles of $\\leq k$ different lengths then $\\chi(G)\\leq 2k+2$, with equality if and only if $G$ contains $K_{2k+2}$.","status":"solved","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[],"velaLean":[],"oeis":[],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}