[Solved] CSDS455 Homework 15-Szemer`edis regularity lemma

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[Solved] CSDS455 Homework 15-Szemer`edis regularity lemma

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Please read the statement and intuition about Szemer`edis regularity lemma.

Problem 1: In the definition of (A,B) as an -regular pair (or -pseudo-random pair), what is the purpose of the requirement that for every subset X A and and ?

Problem 2: Prove that any -regular pair in G is also -regular in G.

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[Solved] CSDS455 Homework 15-Szemer`edis regularity lemma[Solved] CSDS455 Homework 15-Szemer`edis regularity lemma
$25