4th video of week 1 of Graph Theory course. We introduce the key notion of coloring and motivate our first key theorem, Brooks' Theorem.
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Probabilistic Methods 11-2: Brun's Sieve and the Poisson Paradigm
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Probabilistic Methods 8-2: Concentration Inequalities
Probabilistic Methods 8-1: FKG Inequality
Probabilistic Methods 7-2: Four Functions Theorem
Probabilistic Methods 7-1: Moser-Tardos Algorithm
Probabilistic Methods 6-2: Applying the Local Lemma
Probabilistic Methods 6-1: Local Lemma
Probabilistic Methods 5-2: Proving Pippenger-Spencer
Probabilistic Methods: 5-1 Rodl's Nibble
Graph Theory 1-4: Coloring and Brooks' Theorem.
Graph Theory 1-2: Writing Guidelines
Graph Theory 3-2: Proof of Vizing's Theorem
Graph Theory 3-1: Edge Coloring
Graph Theory 3-3: List Edge Coloring
Graph Theory 2-1: An Informal Proof of Brooks Theorem
Graph Theory 1-3: A Writing Example
Graph Theory 2-2: Towards a Formal Proof of Brooks' Theorem