0-1 matrices with zero trace whose squares are 0-1 matrices
classification
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matricesmaximumnumbersquarestracewhosezeroattaining
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In this paper, we determine the maximum number of nonzero entries in 0-1 matrices of order $n$ with zero trace whose squares are 0-1 matrices when $n\ge 8$. The extremal matrices attaining this maximum number are also characterized.
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