{"schema":"vela.problem-packet.v0.1","problem":918,"statement":"Is there a graph with $\\aleph_2$ vertices and chromatic number $\\aleph_2$ such that every subgraph on $\\aleph_1$ vertices has chromatic number $\\leq\\aleph_0$?Is there a graph with $\\aleph_{\\omega+1}$ vertices and chromatic number $\\aleph_1$ such that every subgraph on $\\aleph_\\omega$ vertices has chromatic number $\\leq\\aleph_0$?","status":"open","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)"}