Subsquare-free Latin squares of odd order
For every odd positive integer m we prove the existence of a Latin square of order 3 m having no proper Latin subsquares. Combining this with previously known results it follows that subsquare-free Latin squares exist for all odd orders.
|Collections||ANU Research Publications|
|Source:||Journal of Combinatorics|
|01_Maenhaut_Subsquare-free_Latin_squares_2007.pdf||290.24 kB||Adobe PDF||Request a copy|
Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.