Combinatorics (Fall 2010): Difference between revisions

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Revision as of 14:17, 9 June 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
v · d · e

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.


Announcement

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

Policies

Assignments

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