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Existence of Graphs with High Girth and High Chromatic Number
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Classroom Contents
Probabilistic Methods in Combinatorics - Fall 2024
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- 1 Large Bipartite Subgraph
- 2 Lower Bounds to Ramsey Numbers
- 3 Extremal Set Theory: Sperner's Theorem
- 4 Extremal Set Theory: Intersecting Families
- 5 Linearity of Expectations
- 6 Independent Sets and Turán's Theorem
- 7 Crossing Number Inequality
- 8 Markov, Chebyshev, and Chernoff
- 9 Bounded Differences Inequality (aka Azuma-Hoeffding Inequality)
- 10 Threshold for a Random Graph to Contain a Triangle
- 11 Existence of Graphs with High Girth and High Chromatic Number
