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Discrete Mathematics & Math
Q84 / 100
What is the Lovász Local Lemma (LLL)?
Correct! Well done.
Incorrect.
The correct answer is B) A probabilistic tool proving that a finite set of "bad events" can all be avoided simultaneously if each bad event has low enough probability and depends on few others
B
Correct Answer
A probabilistic tool proving that a finite set of "bad events" can all be avoided simultaneously if each bad event has low enough probability and depends on few others
Explanation
LLL (symmetric version): if each bad event has probability ≤ p and depends on ≤ d others, and ep(d+1) ≤ 1, then with positive probability no bad event occurs. Non-constructive; algorithmic version (Moser-Tardos) gives efficient algorithm.
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84/100