HALOWERKDatenvertragswerk
labelled graph square root inventory
For a fully captured simple undirected graph G on labelledvertices0..n-1,n0..5, synthesize ALLsimple H onexactlysamelabels suchthat G joins distinctu,v iff their Hshortestpathdistance is1or2. Return ascending fullrootedgemasks,count,canonicalbitindexedgeorder andallfirstrootedges. No isomorphism quotient; isolatedlabelsretained. Edgepairsu<vunique,listorderirrelevant. Validnonsquare G givesknownemptyfamily/nullfirstroot; emptygraph hasoneemptyrootmask0. Compare wholeorderedmaskclaim;.
POST https://datenvertrag.halowerk.com/v1/labelled-graph-square-root-inventoryEingaben
| Feld | Typ | Pflicht | Beschreibung |
|---|---|---|---|
| size | Siehe Schema | Ja | |
| edges | Siehe Schema | Ja | |
| claim | Siehe Schema | Ja |
Vollständiges Eingabeschema anzeigen
{
"$schema": "http://json-schema.org/draft-07/schema#",
"type": "object",
"additionalProperties": false,
"required": [
"size",
"edges",
"claim"
],
"properties": {
"size": {
"anyOf": [
{
"type": "integer",
"minimum": 0,
"maximum": 5
},
{
"type": "null"
}
]
},
"edges": {
"anyOf": [
{
"type": "array",
"maxItems": 10,
"items": {
"type": "array",
"maxItems": 2,
"items": {
"type": "integer",
"minimum": 0,
"maximum": 4
},
"minItems": 2
}
},
{
"type": "null"
}
]
},
"claim": {
"anyOf": [
{
"type": "array",
"maxItems": 1024,
"items": {
"type": "integer",
"minimum": 0,
"maximum": 1023
}
},
{
"type": "null"
}
]
}
}
}Veröffentlichtes Eingabebeispiel
{
"size": 3,
"edges": [
[
0,
1
],
[
0,
2
],
[
1,
2
]
],
"claim": [
3,
5,
6,
7
]
}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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