UsefulLinks
Mathematics
Combinatorics
1. Introduction to Combinatorics
2. Fundamental Counting Principles
3. Permutations
4. Combinations
5. The Binomial Theorem
6. Advanced Counting Techniques
7. Recurrence Relations
8. Generating Functions
9. Special Counting Numbers and Sequences
10. Graph Theory and Combinatorics
11. Design Theory
12. Probabilistic Combinatorics
13. Algebraic Combinatorics
14. Extremal Combinatorics
15. Applications and Advanced Topics
13.
Algebraic Combinatorics
13.1.
Symmetric Functions
13.1.1.
Elementary Symmetric Polynomials
13.1.2.
Complete Homogeneous Symmetric Polynomials
13.1.3.
Power Sum Symmetric Polynomials
13.1.4.
Schur Functions
13.2.
Group Actions and Burnside's Lemma
13.2.1.
Group Actions on Sets
13.2.2.
Orbits and Stabilizers
13.2.3.
Burnside's Lemma
13.2.4.
Polya Enumeration
13.2.5.
Applications to Counting Problems
13.3.
Representation Theory Applications
13.3.1.
Characters and Representations
13.3.2.
Applications to Combinatorial Problems
Previous
12. Probabilistic Combinatorics
Go to top
Next
14. Extremal Combinatorics