Completing Partial Latin Squares with One Nonempty Row, Column, and Symbol

[摘要] Let $r,c,s\in\{1,2,\ldots,n\}$ and let $P$ be a partial latin square of order $n$ in which each nonempty cell lies in row $r$, column $c$, or contains symbol $s$. We show that if $n\notin\{3,4,5\}$ and row $r$, column $c$, and symbol $s$ can be completed

[学科分类] 离散数学和组合数学

[关键词] Partial latin square;Completing