Completing partial Latin squares with two cyclically generated prescribed diagonals (Q1406746)

A diagonal of a partial Latin square \((l_{ij})\) of order \(n\) is cyclically generated if \(l_{i+1,j+1}=l_{ij}+t\pmod n.\) The author proves that every partial Latin square of odd order \(n\) with \(2\) cyclically generated diagonals can be cyclically completed to a Latin square.