Perimeter preservers of nonnegative integer matrices
Seok-Zun Song, Kyung-Tae Kang, Sucheol Yi (2004)
Commentationes Mathematicae Universitatis Carolinae
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We investigate the perimeter of nonnegative integer matrices. We also characterize the linear operators which preserve the rank and perimeter of nonnegative integer matrices. That is, a linear operator preserves the rank and perimeter of rank- matrices if and only if it has the form , or with appropriate permutation matrices and and positive integer matrix , where denotes Hadamard product.