RETRACTED ARTICLE: Note on “Smaller Explicit Superconcentrators” by N. Alon and M. Capalbo

This article was retracted on 01 December 2020

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We slightly improve the superconcentrator construction by Alon and Capalbo.

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  1. 1.

    Alon, N. and Capalbo, M., Smaller Explicit Superconcentrators, Internet Math., 2004, vol. 1, no. 2, pp. 151–163.

    MathSciNet  Article  Google Scholar 

  2. 2.

    Pinsker, M.S., On the Complexity of a Concentrator, in Proc. 7th Int. Teletraffic Conf. (ITC 7), Stockholm, Sweden, June 13-20, 1973, pp. 318/1–318/4.

    Google Scholar 

  3. 3.

    Kolmogorov, A. N. and Barzdin', Ya.M., On the Realization of Networks in Three-Dimensional Space, Probl. Kibern., 1967, vol. 19, pp. 261–268.

    Google Scholar 

  4. 4.

    Bassalygo, L.A., Asymptotically Optimal Switching Circuits, Probl. Peredachi Inf., 1981, vol. 17, no. 3, pp. 81–88 [Probl. Inf. Transm. (Engl. Transl.), 198, vol. 17, no. 3, pp. 206–211].

    MathSciNet  MATH  Google Scholar 

  5. 5.

    Schöning, U., Construction of Expanders and Superconcentrators Using Kolmogorov Complexity, Random Structures Algorithms, 2000, vol. 17, no. 1, pp. 64–77.

    MathSciNet  Article  Google Scholar 

  6. 6.

    Schöning, U., Smaller Superconcentrators of Density 28, Inform. Process. Lett., 2006, vol. 98, no. 4, pp. 127–129.

    MathSciNet  Article  Google Scholar 

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The research was supported in part by the Russian Foundation for Basic Research, project no. 19-01-00364.

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Correspondence to L. A. Bassalygo.

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Russian Text © The Author(s), 2019, published in Problemy Peredachi Informatsii, 2019, Vol. 55, No. 3, pp. 106–108.

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Bassalygo, L.A. RETRACTED ARTICLE: Note on “Smaller Explicit Superconcentrators” by N. Alon and M. Capalbo. Probl Inf Transm 55, 295–297 (2019).

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Key words

  • expander graph
  • concentrator
  • superconcentrator