Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
union-closed sets conjecture
|
| gptkbp:appliesTo |
finite sets
union-closed families |
| gptkbp:field |
combinatorics
|
| gptkbp:hasPartialResults |
true
|
| https://www.w3.org/2000/01/rdf-schema#label |
Frankl's conjecture
|
| gptkbp:proposedBy |
gptkb:Peter_Frankl
|
| gptkbp:relatedTo |
gptkb:set_theory
lattice theory union-closed family |
| gptkbp:sentence |
Every non-empty finite union-closed family of finite sets contains an element that belongs to at least half the sets in the family.
|
| gptkbp:status |
open problem
|
| gptkbp:yearProposed |
1979
|
| gptkbp:bfsParent |
gptkb:Péter_Frankl
|
| gptkbp:bfsLayer |
7
|