Representatives for finite sets

Jia, Xing De

doi:10.1090/S0002-9939-1989-0984798-5

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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Representatives for finite sets
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by Xing De Jia

Proc. Amer. Math. Soc. 107 (1989), 347-351

DOI: https://doi.org/10.1090/S0002-9939-1989-0984798-5

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Abstract:

This paper considers a combinatorial problem by M. B. Nathanson [1], concerning simultaneous systems of representatives for two families of finite sets.

References

Melvyn B. Nathanson, Simultaneous systems of representatives for families of finite sets, Proc. Amer. Math. Soc. 103 (1988), no. 4, 1322–1326. MR 955030, DOI 10.1090/S0002-9939-1988-0955030-2
Melvyn B. Nathanson, Simultaneous systems of representatives and combinatorial number theory, Discrete Math. 79 (1990), no. 2, 197–205. MR 1034122, DOI 10.1016/0012-365X(90)90034-F