Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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LINEAR OPERATORS THAT PRESERVE PERIMETERS OF BOOLEAN MATRICES

  • Song, Seok-Zun (Department of Mathematics Cheju National University) ;
  • Kang, Kyung-Tae (Department of Mathematics Cheju National University) ;
  • Shin, Hang-Kyun (Department of Mathematics Education Seoul National University of Education)
  • Published : 2008.05.31
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Abstract

For a Boolean rank 1 matrix $A=ab^t$, we define the perimeter of A as the number of nonzero entries in both a and b. The perimeter of an $m{\times}n$ Boolean matrix A is the minimum of the perimeters of the rank-1 decompositions of A. In this article we characterize the linear operators that preserve the perimeters of Boolean matrices.

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References

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