{
  "vercy": "1.0-draft",
  "publication": {
    "status": "research-draft",
    "adjudicationStatus": "unreviewed",
    "publishableCanonical": false,
    "generatedAt": "2026-09-12T20:13:51Z",
    "providers": [
      "Claude"
    ],
    "breadth": "written by Claude from model knowledge without web access - no source was read, every claim is a lead to verify",
    "pass": 2,
    "wave": 3,
    "engine": "claude",
    "enrichment": {
      "pass": 3,
      "engine": "claude",
      "producedAt": "2026-10-06T10:00:00Z",
      "ingestedAt": "2026-10-06T07:00:12+00:00",
      "fields": [
        "agent_conduct",
        "ethics",
        "owners"
      ]
    },
    "gate": {
      "passed": true,
      "version": "1.0",
      "at": "2026-10-06T19:51:55+00:00",
      "evidence": [
        "completeness 1.00",
        "sense: Wikidata description",
        "2 live sources",
        "review by codex: pass"
      ]
    }
  },
  "metaModel": {
    "id": "THING-Q18207514",
    "registryId": "vr.tr.graph-coloring-game",
    "name": "graph coloring game",
    "version": "0.2.0-wave.3",
    "entryKind": "thing",
    "family": "Thing Registry",
    "domain": [
      "XCT.REL"
    ],
    "status": "research-draft"
  },
  "canonicalUrl": "https://ver.cy/models/thing/q18207514/",
  "model": {
    "registry_id": "vr.tr.graph-coloring-game",
    "name": "graph coloring game",
    "purpose": "Let an agent explain the graph colouring game and its variants, define the game chromatic number and related parameters, relay known results and bounds with attribution, and separate the game from ordinary graph colouring and from map colouring puzzles.",
    "definition": "A two-player game on a graph in which players alternately colour uncoloured vertices from a fixed set of colours so that adjacent vertices differ, one player trying to complete a proper colouring and the other trying to block it; the game chromatic number is the least number of colours with which the first player can always win, and the game is studied in combinatorial game theory and graph theory.",
    "what_it_is_for": "Not for anything; an object of study in graph theory.",
    "affordances": [
      "explain the rules and variants",
      "define the game chromatic number",
      "relay known bounds for graph classes",
      "distinguish it from ordinary colouring"
    ],
    "distinguishing_features": [
      "Adversarial version of graph colouring",
      "Game chromatic number as the key parameter",
      "Results depend on who moves first and on passing rules",
      "Studied for planar graphs, trees and other classes"
    ],
    "appearance": "Not visible; a game played on a diagram of vertices and edges.",
    "visual_identification": [
      "Alternating colouring of vertices by two players",
      "One player aims for a proper colouring, the other to block",
      "Ordinary graph colouring has no adversary"
    ],
    "physical_properties": [],
    "families_and_kinds": [
      "vertex colouring game",
      "edge colouring game",
      "map colouring games",
      "variants with passing or with the blocker moving first",
      "game chromatic number and game colouring number"
    ],
    "related_models": [
      {
        "relation": "is a kind of",
        "target": "finite two-player zero-sum game",
        "why": "game classification"
      },
      {
        "relation": "is a variant of",
        "target": "graph colouring",
        "why": "the underlying problem"
      },
      {
        "relation": "defines",
        "target": "game chromatic number",
        "why": "its main parameter"
      },
      {
        "relation": "is studied by",
        "target": "combinatorial game theory",
        "why": "the field"
      }
    ],
    "identifiers": [],
    "standards_and_regulation": [
      "No regulation; definitions follow the research literature"
    ],
    "failure_modes_and_hazards": [
      "Confusing game chromatic number with chromatic number",
      "Mixing variants with different rules",
      "Citing bounds without their graph class"
    ],
    "in_scope": [],
    "out_of_scope": [],
    "characteristics": [],
    "agent_conduct": {
      "may": [
        "Explain the rules of the graph colouring game and the game chromatic number.",
        "Play, analyse or teach the game."
      ],
      "must_not": [
        "Present open problems on game chromatic numbers as solved.",
        "Confuse the game chromatic number with the ordinary chromatic number.",
        "Attribute results to researchers who did not obtain them."
      ],
      "requires_human": [
        "Correcting a published bound."
      ]
    },
    "ethics": {
      "considerations": [
        "Accurate attribution matters in research.",
        "Clear explanations make mathematics accessible to learners."
      ],
      "affected_parties": [
        "Students",
        "Researchers"
      ]
    },
    "owners": {
      "steward": "Nobody owns the concept; it belongs to mathematics.",
      "master_systems": []
    }
  },
  "sources": [
    {
      "id": "wikidata",
      "title": "Wikidata item Q18207514: graph coloring game",
      "url": "https://www.wikidata.org/wiki/Q18207514",
      "url_status": "live",
      "what_it_supports": "identity and sense of the item",
      "checked_by": "wikidata-api"
    },
    {
      "id": "wikipedia-en",
      "title": "Wikipedia: Graph coloring game",
      "url": "https://en.wikipedia.org/wiki/Graph_coloring_game",
      "url_status": "live",
      "what_it_supports": "general description of the item",
      "checked_by": "wikidata-api sitelink"
    }
  ],
  "structure": {
    "bundles": [
      {
        "id": "rules",
        "name": "Rules",
        "description": "How the game works.",
        "rationale": "Definition.",
        "layers": [
          {
            "id": "play",
            "name": "Play",
            "description": "Rules.",
            "findings": [
              {
                "id": "play-finding",
                "name": "Play",
                "description": "Play.",
                "questions": [
                  {
                    "text": "What are the rules, who wins, and how do variants differ?",
                    "kind": "definition"
                  },
                  {
                    "text": "Is the question about the game or about ordinary graph colouring?",
                    "kind": "boundary"
                  }
                ]
              }
            ]
          },
          {
            "id": "parameter",
            "name": "Parameter",
            "description": "Game chromatic number.",
            "findings": [
              {
                "id": "parameter-finding",
                "name": "Parameter",
                "description": "Parameter.",
                "questions": [
                  {
                    "text": "How is the game chromatic number defined, and how does it relate to the chromatic number?",
                    "kind": "definition"
                  },
                  {
                    "text": "Which entry fits the chromatic number?",
                    "kind": "action"
                  }
                ]
              }
            ]
          }
        ]
      },
      {
        "id": "results",
        "name": "Results",
        "description": "Known results.",
        "rationale": "Theory.",
        "layers": [
          {
            "id": "bounds",
            "name": "Bounds",
            "description": "Bounds by class.",
            "findings": [
              {
                "id": "bounds-finding",
                "name": "Bounds",
                "description": "Bounds.",
                "questions": [
                  {
                    "text": "What bounds are known for trees, planar graphs and other classes, with attribution?",
                    "kind": "provenance"
                  },
                  {
                    "text": "Which references are standard?",
                    "kind": "provenance"
                  }
                ]
              }
            ]
          },
          {
            "id": "open",
            "name": "Open",
            "description": "Open problems.",
            "findings": [
              {
                "id": "open-finding",
                "name": "Open",
                "description": "Open.",
                "questions": [
                  {
                    "text": "Which problems remain open?",
                    "kind": "provenance"
                  },
                  {
                    "text": "What is proven versus conjectured?",
                    "kind": "boundary"
                  }
                ]
              }
            ]
          }
        ]
      },
      {
        "id": "strategy",
        "name": "Strategy",
        "description": "Strategies and computation.",
        "rationale": "Method.",
        "layers": [
          {
            "id": "strategies",
            "name": "Strategies",
            "description": "Winning strategies.",
            "findings": [
              {
                "id": "strategies-finding",
                "name": "Strategies",
                "description": "Strategies.",
                "questions": [
                  {
                    "text": "What strategies, such as activation strategies, give the bounds?",
                    "kind": "provenance"
                  },
                  {
                    "text": "Which entry fits combinatorial game theory?",
                    "kind": "action"
                  }
                ]
              }
            ]
          },
          {
            "id": "computation",
            "name": "Computation",
            "description": "Computing outcomes.",
            "findings": [
              {
                "id": "computation-finding",
                "name": "Computation",
                "description": "Computation.",
                "questions": [
                  {
                    "text": "How are outcomes computed for small graphs, and what is the complexity?",
                    "kind": "measurement"
                  },
                  {
                    "text": "Which entry fits computational complexity?",
                    "kind": "action"
                  }
                ]
              }
            ]
          }
        ]
      },
      {
        "id": "context",
        "name": "Context",
        "description": "History and teaching.",
        "rationale": "Context.",
        "layers": [
          {
            "id": "history",
            "name": "History",
            "description": "Origins.",
            "findings": [
              {
                "id": "history-finding",
                "name": "History",
                "description": "History.",
                "questions": [
                  {
                    "text": "How did the game originate, from Brams and Gardner to the research literature?",
                    "kind": "provenance"
                  },
                  {
                    "text": "Which entry fits recreational mathematics?",
                    "kind": "action"
                  }
                ]
              }
            ]
          },
          {
            "id": "teach",
            "name": "Teach",
            "description": "Teaching.",
            "findings": [
              {
                "id": "teach-finding",
                "name": "Teach",
                "description": "Teaching.",
                "questions": [
                  {
                    "text": "How is the game used in teaching graph theory?",
                    "kind": "action"
                  },
                  {
                    "text": "Which misconceptions arise?",
                    "kind": "provenance"
                  }
                ]
              }
            ]
          }
        ]
      }
    ]
  },
  "openQuestions": [
    "Should the game chromatic number be a separate entry?",
    "How should research surveys be linked?",
    "Which open problems, such as the exact value for planar graphs, should be recorded?"
  ],
  "statistics": {
    "bundles": 4,
    "layers": 8,
    "findings": 8,
    "questions": 16
  }
}