Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
combinatorics
|
| gptkbp:definedIn |
a set of n elements with 3-element subsets (blocks) such that every pair of elements appears in exactly one block
|
| gptkbp:existsIn |
n ≡ 1 or 3 (mod 6)
|
| gptkbp:hasBlockSize |
3
|
| gptkbp:hasMultipleSTS |
13
|
| gptkbp:hasNotationFor |
STS(n)
|
| gptkbp:hasSmallestNontrivialOrder |
7
|
| gptkbp:hasSpecialCase |
gptkb:Steiner_system
|
| gptkbp:hasUniqueSTS |
7
9 |
| https://www.w3.org/2000/01/rdf-schema#label |
Steiner triple system
|
| gptkbp:namedAfter |
gptkb:Jakob_Steiner
|
| gptkbp:order |
n
|
| gptkbp:relatedTo |
gptkb:projective_plane_of_order_2
Kirkman triple system |
| gptkbp:studiedBy |
19th century
|
| gptkbp:usedIn |
gptkb:geometry
coding theory cryptography experimental design design theory |
| gptkbp:bfsParent |
gptkb:Steiner_system
|
| gptkbp:bfsLayer |
8
|