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On the faces of an n-dimensional cube

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Abstract

The structure of the faces of an n-dimensional cube is studied. Some combinatorial results describing the mutual arrangement and the metric characteristics of this structure are obtained.

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References

  1. Yu. I. Zhuravlev, Selected Works (Magistr, Moscow, 1998) [in Russian].

    Google Scholar 

  2. A. A. Sapozhenko, Disjunctive Normal Forms (Mosk. Gos. Univ., Moscow, 1975) [in Russian].

    Google Scholar 

  3. E. I. Nechiporuk, “On the Complexity of Gate Circuits Realizing Boolean Matrices with Undefined Elements,” Dokl. Akad. Nauk SSSR 163(1), 40–43 (1965).

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  4. V. K. Leont’ev, “An Upper Bound on the α-Depth of (0, 1)-matrices,” Mat. Zametki 15(3), 421–429 (1974).

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Authors and Affiliations

  1. Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia

    V. K. Leont’ev

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  1. V. K. Leont’ev
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Correspondence to V. K. Leont’ev.

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Original Russian Text © V.K. Leont’ev, 2008, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2008, Vol. 48, No. 6, pp. 1126–1139.

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Leont’ev, V.K. On the faces of an n-dimensional cube. Comput. Math. and Math. Phys. 48, 1063–1075 (2008). https://doi.org/10.1134/S0965542508060158

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  • DOI: https://doi.org/10.1134/S0965542508060158

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