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perfect elimination order family

For one FULLY CAPTURED labelled simple undirected graph n0..5 on0..n-1, reconstruct EVERY PERFECT ELIMINATION ORDER of its ORIGINAL vertices without adding graph edges. edge_mask bitk encodes pair(u,v),u<v, in numeric lexorder. An order P deletes P[0] first; for each deletedvertex v, its ORIGINAL neighbors still present later in P must form a clique. Empty or singleton later-neighborhood is a clique. Return all orders in numeric lexicographic order, aligned later_neighbor_masks[row][step].

POST https://datenvertrag.halowerk.com/v1/perfect-elimination-order-family

Eingaben

Felder des veröffentlichten Eingabeschemas
FeldTypPflichtBeschreibung
nSiehe SchemaJa
edge_maskSiehe SchemaJa
claimSiehe SchemaJa
Vollständiges Eingabeschema anzeigen
{
  "type": "object",
  "properties": {
    "n": {
      "anyOf": [
        {
          "type": "integer",
          "minimum": 0,
          "maximum": 5
        },
        {
          "type": "null"
        }
      ]
    },
    "edge_mask": {
      "anyOf": [
        {
          "type": "integer",
          "minimum": 0,
          "maximum": 1023
        },
        {
          "type": "null"
        }
      ]
    },
    "claim": {
      "anyOf": [
        {
          "type": "object",
          "properties": {
            "orders": {
              "type": "array",
              "items": {
                "type": "array",
                "items": {
                  "type": "integer",
                  "minimum": 0,
                  "maximum": 4
                },
                "minItems": 0,
                "maxItems": 5
              },
              "minItems": 0,
              "maxItems": 128
            },
            "later_neighbor_masks": {
              "type": "array",
              "items": {
                "type": "array",
                "items": {
                  "type": "integer",
                  "minimum": 0,
                  "maximum": 31
                },
                "minItems": 0,
                "maxItems": 5
              },
              "minItems": 0,
              "maxItems": 128
            },
            "count": {
              "type": "integer",
              "minimum": 0,
              "maximum": 128
            },
            "chordal": {
              "type": "boolean"
            }
          },
          "required": [
            "orders",
            "later_neighbor_masks",
            "count",
            "chordal"
          ],
          "additionalProperties": false
        },
        {
          "type": "null"
        }
      ]
    }
  },
  "required": [
    "n",
    "edge_mask",
    "claim"
  ],
  "additionalProperties": false
}

Originalschema öffnen

Veröffentlichtes Eingabebeispiel

{
  "n": 0,
  "edge_mask": 0,
  "claim": {
    "orders": [
      []
    ],
    "later_neighbor_masks": [
      []
    ],
    "count": 1,
    "chordal": true
  }
}

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

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