Perfect 1-Factorisations and Hamiltonian Latin Squares

Perfect 1-Factorisations and Hamiltonian Latin Squares

Fields Institute via YouTube Direct link

The cast

2 of 20

2 of 20

The cast

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Perfect 1-Factorisations and Hamiltonian Latin Squares

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  1. 1 Intro
  2. 2 The cast
  3. 3 A perfect 1-factorisation of Ks
  4. 4 1-factorisations from Latin squares
  5. 5 Kotzig's conjecture
  6. 6 Enumeration
  7. 7 78 Sporadic Orders of P1Fs of K
  8. 8 Conjugates of LS
  9. 9 Use a quadratic orthomorphism!
  10. 10 Beck's Theorem
  11. 11 Example p= 11
  12. 12 Phase 2
  13. 13 The end game
  14. 14 Not atomic
  15. 15 Quasigroups
  16. 16 Varieties
  17. 17 Solving Falconer's problem
  18. 18 Loose ends
  19. 19 Other families?
  20. 20 Happy 66 Doug

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