An extremal problem concerning matrices of 0's and 1 's |
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| Authors: | Richard A Brujald Moshe Katz |
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| Institution: |
a Department of Mathematics, University of Wisconsin, Madison, WI
b Department of Mathematics, Technion Israel Institute of Technology, Haifa, Israel |
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| Abstract: | We determine the smallest number f(n,k) such that every (0,1)-matrix of order n what zero main diagonal which has at least f(n,k) 1's contains an irreducible, principal submatrix of order K. We characterize those matrices with f(n,k)-1 l's having no irreducible, principal submatrix of order k |
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