Perfect 1-Factorisations and Hamiltonian Latin Squares

Perfect 1-Factorisations and Hamiltonian Latin Squares

Explore a 29-minute conference talk by Ian Wanless from Monash University on perfect 1-factorisations and Hamiltonian Latin squares. Delve into topics such as Kotzig's conjecture, enumeration of sporadic orders, Beck's Theorem, and solving Falconer's problem. Learn about quadratic orthomorphisms, quasigroups, and varieties as part of the "Stinson66 - New Advances in Designs, Codes and Cryptography" series at the Fields Institute. Gain insights into the connections between 1-factorisations and Latin squares, and discover the latest developments in this fascinating area of mathematics.