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