A note on matrices of zeros and ones |
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Authors: | Kenneth P Bogart |
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Institution: | Dartmouth College, Hanover, N.H. 03755, USA |
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Abstract: | Gale and Ryser have given a necessary and sufficient condition for the existence of a matrix of zeros and ones with specified row and column sums. Though in general it appears quite difficult to compute the number of such matrices, it is shown in this note that it is possible to obtain a quite elementary and easily used formula in a large number of interesting cases. |
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