Skip to main content
Log in

Combinatorial properties of incompatible systems of linear inequalities and polyhedra

  • Published:
Mathematical notes of the Academy of Sciences of the USSR Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature cited

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

    Google Scholar 

  2. S. N. Chernik, Linear Inequalities [in Russian], Nauka, Moscow (1968).

    Google Scholar 

  3. R. T. Rockafellar, Convex Analysis, Princeton Univ. Press (1970).

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

    Google Scholar 

  5. D. Gale, “Neighboring vertices on a convex polyhedron,” in: Linear Inequalities and Related Systems, Princeton Univ. Press (1956).

  6. D. N. Gainanov, V. Yu. Novokshenov, and L. I. Tyagunov, “Graphs generated by incompatible systems of linear inequalities,” Mat. Zametki,33, No. 2, 293–300 (1983).

    Google Scholar 

  7. P. McMullen and G. Shephard, Convex Polytopes and the Upper Bound Conjecture, Cambridge Univ. Press (1971).

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Matematicheskie Zametki, Vol. 38, No. 3, pp. 463–474, September, 1985.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gainanov, D.N. Combinatorial properties of incompatible systems of linear inequalities and polyhedra. Mathematical Notes of the Academy of Sciences of the USSR 38, 763–768 (1985). https://doi.org/10.1007/BF01163715

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01163715

Keywords

Navigation