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Some applications of a cardinality estimate for a certain configuration

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Abstract

Two configurations are constructed and the cardinality of one of them is estimated in terms of that of the other. The estimate thus obtained is applied to certain combinatorial problems.

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References

  1. V. E. Tarakanov,Combinatorial Problems and (0, 1)-Matrices [in Russian], Nauka, Moscow (1985).

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  2. D. K. Faddeev,Lectures in Algebra [in Russian], Nauka, Moscow (1984).

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  3. G. E. Andrews,The Theory of Partitions, Addison-Wesley, Reading, Mass. (1976).

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Authors and Affiliations

  1. T. G. Shevchenko Kiev State University, USSR

    V. I. Masol

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  1. V. I. Masol
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Translated fromMatematicheskie Zametki, Vol. 63, No. 5, pp. 729–736, May, 1998.

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Masol, V.I. Some applications of a cardinality estimate for a certain configuration. Math Notes 63, 641–647 (1998). https://doi.org/10.1007/BF02312846

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  • DOI: https://doi.org/10.1007/BF02312846

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