symmetric Lovász Local Lemma
GPTKB entity
Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
probabilistic lemma |
| gptkbp:appliesTo |
events with limited dependencies
|
| gptkbp:field |
gptkb:probability_theory
combinatorics |
| gptkbp:form |
symmetric
|
| gptkbp:generalizes |
gptkb:Erdős–Lovász_Local_Lemma
|
| https://www.w3.org/2000/01/rdf-schema#label |
symmetric Lovász Local Lemma
|
| gptkbp:namedAfter |
gptkb:László_Lovász
|
| gptkbp:publishedIn |
1975
|
| gptkbp:relatedTo |
gptkb:Lovász_Local_Lemma
|
| gptkbp:state |
If each of a set of events has probability at most p and is mutually independent of all but at most d other events, and ep(d+1) ≤ 1, then with positive probability none of the events occur.
|
| gptkbp:usedFor |
probabilistic method
|
| gptkbp:bfsParent |
gptkb:Lovász_Local_Lemma
|
| gptkbp:bfsLayer |
6
|