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On the application of permutation groups to some combinatorial problems

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Ukrainian Mathematical Journal Aims and scope

We show that some properties of permutation groups can be applied to the construction of combinatorial objects with given properties.

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References

  1. M. Hall, Jr., The Theory of Groups, Macmillan Company, New York (1959).

    MATH  Google Scholar 

  2. F. Harary, Graph Theory, Addison-Wesley, London (1969).

    Google Scholar 

  3. N. Alon, “Eigenvalues and expanders,” Combinatorica, 6, No. 2, 83–96 (1986).

    Article  MATH  MathSciNet  Google Scholar 

  4. A. D. Glukhov, “Diagnostic ability, connectedness function, and the spectrum of a graph,” Élektron. Model., No. 2, 92–94 (1995).

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  5. O. D. Hlukhov, “Investigation of the existence of some combinatorial objects by the methods of the theory of permutation groups,” in: Abstr. of the First Ukrainian Mathematical Congress (Kyiv, 2001) [in Ukrainian], Kyiv (2001), pp. 62–63.

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, No. 11, pp. 1568–1571, November, 2008.

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Hlukhov, O.D. On the application of permutation groups to some combinatorial problems. Ukr Math J 60, 1840–1844 (2008). https://doi.org/10.1007/s11253-009-0173-5

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  • DOI: https://doi.org/10.1007/s11253-009-0173-5

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