Minimum matrix representation of closure operations

نویسندگان

  • János Demetrovics
  • Zoltán Füredi
  • Gyula O. H. Katona
چکیده

Let (I be a column of the fft x /I matrix M and A a set of its columns. We say that A implies a iff M contains no two rows equal in A but different in a. It is easy IO see that if Y,~,(A) denotes . the columns implied by A, than :/,,,(A) is a closure operation. We say that M represents this closure operation. s(:/ ) is the minimum number of the rows of the matrices representing a given closure operation. s(? ) is determined for some particular closure operations.

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عنوان ژورنال:
  • Discrete Applied Mathematics

دوره 11  شماره 

صفحات  -

تاریخ انتشار 1985