Decomposition of bi-colored square arrays into balanced diagonals
نویسندگان
چکیده
منابع مشابه
Decomposition of bi-colored square arrays into balanced diagonals
Given an n × n array M (n ≥ 7), where each cell is colored in one of two colors, we give a necessary and sufficient condition for the existence of a partition of M into n diagonals, each containing at least one cell of each color. As a consequence, it follows that if each color appears in at least 2n − 1 cells, then such a partition exists. The proof uses results on completion of partial Latin ...
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ژورنال
عنوان ژورنال: Electronic Notes in Discrete Mathematics
سال: 2015
ISSN: 1571-0653
DOI: 10.1016/j.endm.2015.06.004