Extremal Combinatorics: With Applications in Computer Science - Hardcoverby Stasys Jukna (Author) Preface. Prolog: What this Book Is About. Notation. Counting. Advanced Counting. Probabilistic Counting. The Pigeonhole Principle. Systems of Distinct Representatives. Sunflowers. Intersecting Families. Chains and Antichains. Blocking Sets and the Duality. Density and Universality. Witness Sets and Isolation. Designs. The Basic Method. Orthogonality and Rank Arguments. Eigenvalues and Graph Expansion. The Polynomial Method.