- Graphs without 4-cycles
- Lovasz-Stein theorem
- Matroids and approximation
- Kruskal-Katona theorem
- Matrix rank and Ramsey graphs
- Expanders and derondamization
- Solution of Kakeya's problem
- Expander codes
- Szemeredi-Trotter theorem
- The k-SAT problem
- Prime factors (probabilistic proof)
- Schoning's algortithm for 3-SAT
- Sum-product sets

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