Combinatorial Properties of Matrices of Zeros and Ones

作者: H. J. Ryser

DOI: 10.1007/978-0-8176-4842-8_18

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摘要: … Let the sum of row i of A be denoted by rj (i = 1, ... , m) and let the stirn of column i of A be denoted by … the matrix at this stage of the construction process be denoted by …

参考文章(5)
Marshall Hall, An existence theorem for latin squares Bulletin of the American Mathematical Society. ,vol. 51, pp. 387- 388 ,(1945) , 10.1090/S0002-9904-1945-08361-X
Oystein Ore, Graphs and matching theorems Duke Mathematical Journal. ,vol. 22, pp. 625- 639 ,(1955) , 10.1215/S0012-7094-55-02268-7
H. J. Ryser, A combinatorial theorem with an application to latin rectangles Proceedings of the American Mathematical Society. ,vol. 2, pp. 550- 552 ,(1951) , 10.1090/S0002-9939-1951-0042361-0
P. Hall, On Representatives of Subsets Journal of The London Mathematical Society-second Series. pp. 26- 30 ,(1935) , 10.1112/JLMS/S1-10.37.26
R. F. Muirhead, Some Methods applicable to Identities and Inequalities of Symmetric Algebraic Functions of n Letters Proceedings of the Edinburgh Mathematical Society. ,vol. 21, pp. 144- 162 ,(1902) , 10.1017/S001309150003460X