Combinatorics
Daniel Naylor

Contents
1Set Systems
1.1Shadows
1.2Two total orders on X(r)
1.3Compressions
1.4Intersecting Families
2Isoperimetric Inequalities
2.1Concentration of measure
2.2Edge-isoperimetric inequalities
2.3Inequalities in the grid
2.4The edge-isoperimetric inequality in the grid
3Intersecting Families
3.1t-intersecting families
3.2Modular Intersections
3.3Borsuk’s Conjecture
Index