1. Introduction.- 2. Linear Intersection Hypergraphs.- 3. Finite Affine Planes and Projective Planes.- 4 . The Tuza Constants.- 5. The Tuza Constant c4.- 6. The Tuza Constant ck for k Large.- 7. The West Bound.- 8. The Deficiency of a Hypergraph.- 9. The Tuza Constant q4.- 10. The Tuza Constant qk for Large k.- 11. The Cap Set Problem.- 12. Partial Steiner Triple Systems.- 13. Upper Transversals in Linear Hypergraphs.- 14. Strong Tranversals in Linear Hypergraphs.- 15. Conjectures and Open Problems.- References.- Glossary.