Combinatorics (Fall 2010)

组合数学 Combinatorics

Instructor
尹一通
Email	yitong.yin@gmail.com yinyt@nju.edu.cn yinyt@lamda.nju.edu.cn
office	蒙民伟楼 406
Class
Class meetings	TBA
Office hours	2pm-5pm, Saturday, MMW 406
Textbook
TBA

This is the page for the class Combinatorics for the Fall 2010 semester. Students who take this class should check this page periodically for content updates and new announcements.

Syllabus

先修课程 Prerequisites

• 离散数学（Discrete Mathematics），概率论（Probability Theory），线性代数（Linear Algebra）

Course materials

• 教材和参考书清单

Policies

• Policies

Lecture Notes

The followings are the topics that I plan to cover:

1. Basic enumeration
2. Permutations and sieves
3. Generating functions
4. The probabilistic method
5. Random graphs
6. Extremal graph theory
7. Finite set systems
8. Extremal set theory
9. Ramsey theory
10. Optimization
11. Duality
12. Flow and matching
13. Matroid
14. Spectra of graphs
15. Harmonic analysis of boolean functions
16. The Szemeredi regularity lemma
17. Sum-product theorems, Kakeya set