Advanced
Discrete Mathematics & Math
Q98 / 100
What is Szemerédi's regularity lemma and its impact?
Correct! Well done.
Incorrect.
The correct answer is B) Any sufficiently dense graph can be approximated by a "regular partition" (pseudorandom bipartite graphs) — foundational for graph theory and additive combinatorics
B
Correct Answer
Any sufficiently dense graph can be approximated by a "regular partition" (pseudorandom bipartite graphs) — foundational for graph theory and additive combinatorics
Explanation
Szemerédi regularity lemma (1975): any dense graph has an ε-regular partition. Applications: Szemerédi's theorem (arithmetic progressions in dense sets), graph removal lemma, property testing. Tower-type bounds but non-constructive.
Progress
98/100