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Widths and Heights of (0,1) -Matrices

Published online by Cambridge University Press:  20 November 2018

D. R. Fulkerson  and
H. J. Ryser
D. R. Fulkerson
Affiliation:
The RAND Corporation
H. J. Ryser
Affiliation:
Ohio State University
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A number of combinatorial problems may be regarded as particular instances of the following rather general situation. Given a set X composed of n elements x1, x2, ..., xn, and m subsets X1 X2, … , Xm of X, find a minimal system of representatives for X1, X2, … , Xm. That is, single out a subset X* of X such that Xi ∩ X* is non-empty for i = 1,2, … ,m, and no subset of X containing fewer elements than X* has this property. To illustrate, each of the following can be thought of in these terms.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 13 , 1961 , pp. 239 - 255
Copyright
Copyright © Canadian Mathematical Society 1961

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