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Literature cited

  1. A. Altshuler and M. A. Perles, “Quotient polytopes of cyclic polytopes,” Israel J. Math.,36, No. 2, 97–125 (1980).

    Google Scholar 

  2. Tam, Bit-Shun, “Diagonals of convex sets,” Tamkang J. Math.,14, No. 1, 91–102 (1983).

    Google Scholar 

  3. D. N. Gainanov, “Combinatorial properties of inconsistent systems of linear inequalities and polytopes,” Mat. Zametki,38, No. 3, 463–474 (1985).

    Google Scholar 

  4. M. Fiedler and V. Ptak, “Diagonals of convex sets,” Czech. Math. J.,28 (103), No. 1, 25–44 (1978).

    Google Scholar 

  5. B. Grünbaum, Convex Polytopes, Wiley, New York (1967).

    Google Scholar 

  6. V. A. Emelichev, M. M. Kovalev, and M. K. Kravtsov, Polytopes, Graphs, and Optimization [in Russian], Nauka, Moscow (1981).

    Google Scholar 

  7. J. Eckhoff, “On a class of convex polytopes,” Israel J. Math.,23, Nos. 3–4, 332–336 (1976).

    Google Scholar 

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Translated from Matematicheskie Zametki, Vol. 49, No. 4, pp. 20–30, April, 1991.

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Gainanov, D.N., Gusak, I.Y. Diagonals of convex polytopes. Mathematical Notes of the Academy of Sciences of the USSR 49, 349–355 (1991). https://doi.org/10.1007/BF01158208

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  • DOI: https://doi.org/10.1007/BF01158208

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