Analysis of the Structure of Latin Squares (ARC Discovery project administered by Monash University) (2006–2010)

Latin squares are core building blocks in combinatorics, and are used for designing experiments, schedules and error-correcting codes. They also play a role in other mathematical disciplines such as algebra and finite geometry. Long-standing open problems concerning the existence of latin squares with certain properties illustrate the shortfalls in our current understanding of these fundamental combinatorial objects. This project will advance understanding of the basic pieces from which latin squares are built, and use the knowledge to construct latin squares with rare but desirable properties. In the process, significant unsolved problems in the area will be resolved.
Grant type:
Monash University
Funded by:
Monash University