Fork me on GitHub
Math for the people, by the people.

User login

Graeco-Latin squares

Type of Math Object: 
Major Section: 
Groups audience: 

Mathematics Subject Classification

05B15 no label found


Does anyone know whether there has been a complete search for all Graeco-Latin squares of order 7 or 8? (Not counting isomorphisms)
It is easy to verify that there is one square of order 3, one square of order 4, and two non-isomorphic Graeco-Latin squares of order 5.
Since it has been proven that there are no Graeco-Latin squares of order 6, the natural question is how many squares of order 7 or 8 there are.
Two Graeco-Latin squares are said to be isomorphic if one can be converted to the other through a series of operations: rearranging rows, rearranging columns, transposing the square, permuting the Greek letters, permuting the Latin letters, or exchanging the Greek and Latin lette

Subscribe to Comments for "Graeco-Latin squares"