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signed graph minimum frustration inventory

Given an original labelled simple undirected signed graph on0..6vertices andatmost10orderededges [u,v,sign], reconstruct the frustration index and ALLminimumcardinality edgeindex deletion sets leaving every cycle positive. Require u<v and unique vertexpairs,sign±1; no connectivity assumption. Return canonical numeric lexicographic ordered sets,balanced flag and wholeclaimcomparison. Missinggraph/claim unknown with computed evidence retained; emptygraph known index0 and[[]]. Production.

POST https://datenvertrag.halowerk.com/v1/signed-graph-minimum-frustration-inventory

Eingaben

Felder des veröffentlichten Eingabeschemas
FeldTypPflichtBeschreibung
graphSiehe SchemaJa
claimed_deletionsSiehe SchemaJa
Vollständiges Eingabeschema anzeigen
{
  "type": "object",
  "additionalProperties": false,
  "required": [
    "graph",
    "claimed_deletions"
  ],
  "properties": {
    "graph": {
      "anyOf": [
        {
          "type": "object",
          "additionalProperties": false,
          "required": [
            "vertices",
            "edges"
          ],
          "properties": {
            "vertices": {
              "type": "integer",
              "minimum": 0,
              "maximum": 6
            },
            "edges": {
              "type": "array",
              "maxItems": 10,
              "items": {
                "type": "array",
                "minItems": 3,
                "maxItems": 3,
                "items": {
                  "type": "integer",
                  "minimum": -1,
                  "maximum": 5
                }
              }
            }
          }
        },
        {
          "type": "null"
        }
      ]
    },
    "claimed_deletions": {
      "anyOf": [
        {
          "type": "array",
          "maxItems": 32,
          "items": {
            "type": "array",
            "maxItems": 10,
            "items": {
              "type": "integer",
              "minimum": 0,
              "maximum": 9
            }
          }
        },
        {
          "type": "null"
        }
      ]
    }
  }
}

Originalschema öffnen

Veröffentlichtes Eingabebeispiel

{
  "graph": {
    "vertices": 3,
    "edges": [
      [
        0,
        1,
        -1
      ],
      [
        0,
        2,
        -1
      ],
      [
        1,
        2,
        -1
      ]
    ]
  },
  "claimed_deletions": [
    [
      0
    ],
    [
      1
    ],
    [
      2
    ]
  ]
}

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Quelle dieser Seite: der veröffentlichte HALOWERK-Katalog. Stand: 2026-11-07, 02:42 UTC.

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