Induced Subarrays of Latin Squares Without Repeated Symbols

Electronic Journal Of Combinatorics

R. Julian R. Abel¹ 

关键词: Latin square;    2-partition;    conjugate;    isotopic;    transposition class;    k-partition;    discrepancy;    potential;   

DOI  :  

学科分类：离散数学和组合数学

来源: Electronic Journal Of Combinatorics

【 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

【 授权许可】

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