On avoiding odd partial Latin squares and r-multi Latin squares
نویسندگان
چکیده
منابع مشابه
On avoiding odd partial Latin squares and r-multi Latin squares
We show that for any positive integer k 4, if R is a (2k − 1)× (2k − 1) partial Latin square, then R is avoidable given that R contains an empty row, thus extending a theorem of Chetwynd and Rhodes. We also present the idea of avoidability in the setting of partial r-multi Latin squares, and give some partial fillings which are avoidable. In particular, we show that ifR contains at most nr/2 sy...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2006
ISSN: 0012-365X
DOI: 10.1016/j.disc.2006.05.028