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We simultaneously give short, direct proofs of the Gale & Ryser and Ford & Fulkerson characterizations of the row and column sum vectors of (0,1)-matrices. Mathematics subject classification (2000): 05A20, 05B20, 15A39.

Short Proofs of the Gale & Ryser and Ford & Fulkerson Characterizations of the Row and Column Sum Vectors of (0,1)-Matrices