{"schema":"vela.problem-packet.v0.1","problem":1079,"statement":"Let $r\\geq 4$. If $G$ is a graph on $n$ vertices with at least $\\mathrm{ex}(n;K_r)$ edges then must $G$ contain a vertex with degree $d\\gg_r n$ whose neighbourhood contains at least $\\mathrm{ex}(d;K_{r-1})$ edges?","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)"}