Martin Gruettmueller
Completing Partial Latin Squares with Two Prescribed Diagonals
Preprint series: Preprints aus dem Fachbereich Mathematik, Universität Rostock

MSC:

05B15 Orthogonal arrays, Latin squares, Room squares

Abstract: In the present paper we will prove that every partial latin square
$L=(l_{ij})$ of odd order $n$ with $2$ cyclically generated diagonals
($l_{i+t,j+t}= l_{ij}+t$ if $l_{ij}$ is not empty; with calculations
modulo $n$) can be cyclically completed.

Keywords: partial latin squares; prescribed diagonals; completion