HALOWERKDatenvertragswerk
graph graceful labeling family
For a supplied labeled simple undirected graph on vertices0..n-1,n1..4 and m originaledges, synthesize ALL injective vertexmaps into integerlabels0..m whose absolute edge differences are exactly1..m. Edges must be unique lexicographically sorted pairs u<v<n. Return the full numeric-lex ordered vertexlabel family and aligned absolute-difference rows in originaledgeorder, edgecount,totalcount and feasible flag. Complementary labelings and graphautomorphism variants are retained; no quotient,.
POST https://datenvertrag.halowerk.com/v1/graph-graceful-labeling-familyEingaben
| Feld | Typ | Pflicht | Beschreibung |
|---|---|---|---|
| n | integer, null | Ja | |
| edges | Siehe Schema | Ja | |
| claimed_labelings | Siehe Schema | Ja |
Vollständiges Eingabeschema anzeigen
{
"type": "object",
"additionalProperties": false,
"required": [
"n",
"edges",
"claimed_labelings"
],
"properties": {
"n": {
"type": [
"integer",
"null"
],
"minimum": 1,
"maximum": 4
},
"edges": {
"anyOf": [
{
"type": "array",
"maxItems": 6,
"items": {
"type": "array",
"maxItems": 2,
"items": {
"type": "integer",
"minimum": 0,
"maximum": 3
},
"minItems": 2
}
},
{
"type": "null"
}
]
},
"claimed_labelings": {
"anyOf": [
{
"type": "array",
"maxItems": 840,
"items": {
"type": "array",
"maxItems": 4,
"items": {
"type": "integer",
"minimum": 0,
"maximum": 6
}
}
},
{
"type": "null"
}
]
}
}
}Veröffentlichtes Eingabebeispiel
{
"n": 4,
"edges": [
[
0,
1
],
[
1,
2
],
[
2,
3
]
],
"claimed_labelings": [
[
0,
3,
1,
2
],
[
1,
2,
0,
3
],
[
2,
1,
3,
0
],
[
3,
0,
2,
1
]
]
}Ergebnis & Dokumentation
Maschinenlesbare Dokumentation dieses Hubs
Quelle dieser Seite: der veröffentlichte HALOWERK-Katalog. Stand: 2026-11-07, 02:42 UTC.
Weitere Endpunkte dieses Hubs
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POSThttps://datenvertrag.halowerk.com/v1/adjacency-cospectral-graph-familyGiven n1..5 and a monic degree-n integer polynomial det(xI-A), return EVERY labelled simple undirected graph on vertices0..n-1 having exactly that adjacency characteristic polynomial over integers. Coefficients are descending degree order,
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adjacent swap permutation tour
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aligned record cut audit
POSThttps://datenvertrag.halowerk.com/v1/aligned-record-cut-auditA stream-runtime fixture maintainer checks which record IDs belong to a supplied aligned checkpoint cut and which same-channel post-barrier records must stay buffered until all input barriers arrive. One aligned local checkpoint;record iden