Mathematical Notes

, Volume 63, Issue 5, pp 641–647 | Cite as

Some applications of a cardinality estimate for a certain configuration

  • V. I. Masol


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.

Key words

cardinality of subsets of a finite set configuration in the sense of Tarakanov (0, 1)-matrix combinatorial estimates 


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  1. 1.
    V. E. Tarakanov,Combinatorial Problems and (0, 1)-Matrices [in Russian], Nauka, Moscow (1985).Google Scholar
  2. 2.
    D. K. Faddeev,Lectures in Algebra [in Russian], Nauka, Moscow (1984).Google Scholar
  3. 3.
    G. E. Andrews,The Theory of Partitions, Addison-Wesley, Reading, Mass. (1976).Google Scholar

Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • V. I. Masol
    • 1
  1. 1.T. G. Shevchenko Kiev State UniversityUSSR

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