Current Results [pdf]

Topics of the classes:
  1. 1. Mathematical inductions, Dirichlet's box principle (pl, ang) EK: 2, 4, 12.
  2. 2. The law of multiplication, addition and the general principles of bijection (pl, ang) EK: 2, 5, 8.
  3. 3. Selection schemes (pl, ang) EK: 2, 6, 13, 16.
  4. 4. Binary sequences, dominated sequences (pl, ang) EK: 2, 6, 9, 11.
  5. 5. Combinatorial identities (pl, ang) EK: 1b), 3b), 4b), 5b), 6b).
  6. 6. Recurrence relations (pl, ang) EK: 2, 6, 12, 13a), 14.
  7. 7. Inclusion-exclusion principle, partitions (pl, ang) EK: 5, 6, 9, 15.
  8. 8. Characteristic polynomials and generating functions (pl, ang).
  9. 9. Characteristic polynomials and generating functions (part 2) (pl, ang).
  10. 10. Finite fields, congruences (pl, ang) EK: 2, 9, 11.
  11. 11. Introduction to graphs (pl, ang) EK: 5, 8, 10, 12.
  12. 12. Paths, cycles, connectivity (pl, ang) EK: 3, 4, 7, 9.
  13. 13. Eulerian and Hamiltonian graphs (pl, ang) EK: 2, 3, 6, 7.
  14. 14. Graph enumeration, Prüfer code (pl, ang) EK: 2, 8, 9.
  15. 15. Graphic sequences, isomorphism.