Induced Subarrays of Latin Squares Without Repeated Symbols
[摘要] We show that for any Latin square $L$ of order $2m$, we can partition the rows and columns of $L$ into pairs so that at most $(m+3)/2$ of the $2\times 2$ subarrays induced contain a repeated symbol. We conjecture that any Latin square of order $2m$ (where
[发布日期] [发布机构]
[效力级别] [学科分类] 离散数学和组合数学
[关键词] Latin square;2-partition;conjugate;isotopic;transposition class;k-partition;discrepancy;potential [时效性]
