Ron Holzman’s office hours:
Sunday 16:30-17:30 , Amado 605
Combinatorics (104286), Spring 2017/18:
| Lecture: Thursday | Recitation: Thursday | |
| Hours: | 11:30-13:30 | 13:30-14:30 |
| Place: | Ullmann 303 | Ullmann 303 |
Syllabus:
1. Elementary enumeration problems.
2. The binomial coefficients and their properties.
3. The inclusion-exclusion principle.
4. Recurrences.
5. The pigeonhole principle.
6. Graphs: basic notions.
7. Eulerian graphs.
8. The marriage theorem.
9. Ramsey’s theorem.
10. Coloring and planarity.
Selected Topics in Combinatorics 2 (106928), Spring 2017/18:
| Sunday | Wednesday | |
| Hours: | 10:30-12:30 | 14:30-15:30 |
| Place: | Amado 619 | Amado 719 |
The course will cover topics in extremal combinatorics, dealing mainly with families of finite sets. Applications to geometry, number theory and computer science will also be presented.
Syllabus:
1. Theorems about antichains, intersecting families, ideals of sets.
2. Set shattering and the VC-dimension of a family of sets.
3. Boolean operations on families of sets, correlation inequalities.
4. Sunflowers in families of sets.