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Minimal Term Rank of a Class of (0, 1)-Matrices

Published online by Cambridge University Press:  20 November 2018

Robert M. Haber*
Affiliation:
Case Institute of Technology
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Let be the class of m × n matrices all of whose entries are either 0 or 1 where every matrix A in the class satisfies the conditions that row i of A has ri ones, i = 1, 2, . . . , m; and column j of A has sj ones, j = 1, 2, . . . , n. We let R = (r1 . . . , rm), S = (s1, . . . , sn), and assume that r1r2 ≥ . . . ≥ rm ≥ 0; s1s2 ≥ . . . ≥ sn > 0. When this is the case we say the class is normalized.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1963

References

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