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pair minimal vertex separator inventory

For a supplied simple undirected graph on1..6 labelled vertices, return ALL vertex sets S that minimally separate some nonadjacent terminal pair: no proper subset of S separates that pair. Give every numerically sorted separator mask and vertex list, ALL full connected components C of G-S with N(C)=S, ALL terminal pairs for which this S is minimal, and clique status. Include exact family count, smallest separator size and clique-separator masks. For already disconnected terminal pairs the.

POST https://datenvertrag.halowerk.com/v1/pair-minimal-vertex-separator-inventory

Eingaben

Felder des veröffentlichten Eingabeschemas
FeldTypPflichtBeschreibung
verticesintegerJa
edgesSiehe SchemaJa
claimed_separator_countSiehe SchemaJa
Vollständiges Eingabeschema anzeigen
{
  "type": "object",
  "additionalProperties": false,
  "required": [
    "vertices",
    "edges",
    "claimed_separator_count"
  ],
  "properties": {
    "vertices": {
      "type": "integer",
      "minimum": 1,
      "maximum": 6
    },
    "edges": {
      "anyOf": [
        {
          "type": "array",
          "maxItems": 15,
          "items": {
            "type": "object",
            "additionalProperties": false,
            "required": [
              "u",
              "v"
            ],
            "properties": {
              "u": {
                "type": "integer",
                "minimum": 0,
                "maximum": 5
              },
              "v": {
                "type": "integer",
                "minimum": 0,
                "maximum": 5
              }
            }
          }
        },
        {
          "type": "null"
        }
      ]
    },
    "claimed_separator_count": {
      "anyOf": [
        {
          "type": "integer",
          "minimum": 0,
          "maximum": 64
        },
        {
          "type": "null"
        }
      ]
    }
  }
}

Originalschema öffnen

Veröffentlichtes Eingabebeispiel

{
  "vertices": 4,
  "edges": [
    {
      "u": 0,
      "v": 1
    },
    {
      "u": 1,
      "v": 2
    },
    {
      "u": 2,
      "v": 3
    },
    {
      "u": 0,
      "v": 3
    }
  ],
  "claimed_separator_count": 2
}

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

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