Leverhulme Emeritus Fellowship 2008-2010
Knuth in his paper translates the problem of Knowlton-Graham partitions in terms of 0/1-matrices. Lemma 1 in that paper states: Knowlton-Graham partitions exist for
iff there’s a 0/1-matrix having row sums
and column sums
such that
and
are multiples of
and .
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