Combinatorics

  1. Algebraic Combinatorics
    1. Symmetric Functions
      1. Elementary Symmetric Polynomials
        1. Complete Homogeneous Symmetric Polynomials
          1. Power Sum Symmetric Polynomials
            1. Schur Functions
            2. Group Actions and Burnside's Lemma
              1. Group Actions on Sets
                1. Orbits and Stabilizers
                  1. Burnside's Lemma
                    1. Polya Enumeration
                      1. Applications to Counting Problems
                      2. Representation Theory Applications
                        1. Characters and Representations
                          1. Applications to Combinatorial Problems

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                        12. Probabilistic Combinatorics

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                        14. Extremal Combinatorics