HALOWERKDatenvertragswerk
pathwidth optimal layout inventory
For an original labelled simple undirected graph n0..5 including disconnected and empty graphs, derive minimum outside-prefix vertex frontier size over ALL permutations. Return exact pathwidth, ALL minimizing orders in numeric lexicographic order, and full frontiers/bags for first order. Frontier after prefix S is N(S) outside S; first bag at position i is current vertex plus that after-prefix frontier, vertices sorted. These bags cover every graph edge and each vertex occurs over an.
POST https://datenvertrag.halowerk.com/v1/pathwidth-optimal-layout-inventoryEingaben
| Feld | Typ | Pflicht | Beschreibung |
|---|---|---|---|
| graph | Siehe Schema | Ja | |
| claimed_orders | Siehe Schema | Ja |
Vollständiges Eingabeschema anzeigen
{
"type": "object",
"additionalProperties": false,
"required": [
"graph",
"claimed_orders"
],
"properties": {
"graph": {
"anyOf": [
{
"type": "object",
"additionalProperties": false,
"required": [
"n",
"edges"
],
"properties": {
"n": {
"type": "integer",
"minimum": 0,
"maximum": 5
},
"edges": {
"type": "array",
"maxItems": 10,
"items": {
"type": "array",
"maxItems": 2,
"items": {
"type": "integer",
"minimum": 0,
"maximum": 4
},
"minItems": 2
}
}
}
},
{
"type": "null"
}
]
},
"claimed_orders": {
"anyOf": [
{
"type": "array",
"maxItems": 120,
"items": {
"type": "array",
"maxItems": 5,
"items": {
"type": "integer",
"minimum": 0,
"maximum": 4
}
}
},
{
"type": "null"
}
]
}
}
}Veröffentlichtes Eingabebeispiel
{
"graph": {
"n": 5,
"edges": [
[
0,
1
],
[
1,
2
],
[
2,
3
],
[
3,
4
]
]
},
"claimed_orders": [
[
0,
1,
2,
3,
4
],
[
0,
1,
2,
4,
3
],
[
4,
3,
2,
0,
1
],
[
4,
3,
2,
1,
0
]
]
}Ergebnis & Dokumentation
Maschinenlesbare Dokumentation dieses Hubs
Quelle dieser Seite: der veröffentlichte HALOWERK-Katalog. Stand: 2026-11-07, 02:42 UTC.
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