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http://dx.doi.org/10.4134/JKMS.2004.41.2.397

RANK AND PERIMETER PRESERVERS OF BOOLEAN RANK-1 MATRICES  

Song, Seok-Zun (Department of Mathematics Cheju National University)
Beasley, Leroy-B. (Department of Mathematics and Statistics Utah State University)
Cheon, Gi-Sang (Department of Mathematics Daejin University)
Jun, Young-Bae (Department of Mathematics Education Gyeongsang National University)
Publication Information
Journal of the Korean Mathematical Society / v.41, no.2, 2004 , pp. 397-406 More about this Journal
Abstract
For a Boolean rank-l matrix $A\;=\;ab^{t}$, we define the perimeter of A as the number of nonzero entries in both a and b. We characterize the Boolean linear operators that preserve rank and perimeter of Boolean rank-l matrices.
Keywords
Boolean linear operator; perimeter; (U, V)-operator;
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Times Cited By Web Of Science : 5  (Related Records In Web of Science)
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