Literature cited
A. Altshuler and M. A. Perles, “Quotient polytopes of cyclic polytopes,” Israel J. Math.,36, No. 2, 97–125 (1980).
Tam, Bit-Shun, “Diagonals of convex sets,” Tamkang J. Math.,14, No. 1, 91–102 (1983).
D. N. Gainanov, “Combinatorial properties of inconsistent systems of linear inequalities and polytopes,” Mat. Zametki,38, No. 3, 463–474 (1985).
M. Fiedler and V. Ptak, “Diagonals of convex sets,” Czech. Math. J.,28 (103), No. 1, 25–44 (1978).
B. Grünbaum, Convex Polytopes, Wiley, New York (1967).
V. A. Emelichev, M. M. Kovalev, and M. K. Kravtsov, Polytopes, Graphs, and Optimization [in Russian], Nauka, Moscow (1981).
J. Eckhoff, “On a class of convex polytopes,” Israel J. Math.,23, Nos. 3–4, 332–336 (1976).
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 49, No. 4, pp. 20–30, April, 1991.
Rights and permissions
About this article
Cite this article
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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01158208