Let and be Partitions of a Positive Integer, then there exists a (0,1)-matrix such that , Iff is dominated by .
References
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Krause, M. ``A Simple Proof of the Gale-Ryser Theorem.'' Amer. Math. Monthly 103, 335-337, 1996.
Robinson, G. §1.4 in Representation Theory of the Symmetric Group.
Toronto, Canada: University of Toronto Press, 1961.
Ryser, H. J. ``The Class
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