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What is Extremal Combinatorics All About?
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Classroom Contents
Asaf Shapira - Local vs Global Combinatorics
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- 1 Intro
- 2 What is Extremal Combinatorics All About?
- 3 Guiding Problem 2
- 4 The Brown-Erdos-Sós Conjecture
- 5 Approximate Brown-Erdős-Sós Conjecture
- 6 Two Competing Conjectures
- 7 Hypergraphs without Grids
- 8 Deriving the Removal Lemma from Regularity Lemma
- 9 Bounds for Removal Lemma
- 10 The Hypergraph Removal Lemma
- 11 A Tight Lower Bound for Hypergraph Regularity
- 12 A Tight Upper Bound for Regularity with Modificatio
- 13 Almost Monochromatic Sets
- 14 Variants of the Removal Lemma
- 15 An Infinite Removal Lemma
- 16 Removal Lemmas with Polynomial Bounds
- 17 Removal Lemmas with Prescribed Growth
- 18 A Generalized Turán Problem
