Skip to main content
SpringerLink
Log in

Extended formulations for convex heptagons

  • Mathematics
  • Published:
Doklady Mathematics Aims and scope Submit manuscript

Abstract

Results related to extended formulations for convex polygons are discussed. In particular, it turns out that six linear inequalities are sufficient to describe a convex heptagon up to linear projection.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. M. Conforti, G. Cornuejols, and G. Zambelli, 4OR 8 (1), 1–48 (2010).

    Article  MATH  MathSciNet  Google Scholar 

  2. V. Kaibel, Optima 85, 2–7 (2011).

    Google Scholar 

  3. S. Fiorini, T. Rothvoss, and H. R. Tiwary, Disc. Comp. Geom. 48 (3), 1–11 (2012).

    Article  MathSciNet  Google Scholar 

  4. Ya. Shitov, J. Comb. Th. Ser. A, 122, 126–132 (2014).

    Article  MathSciNet  Google Scholar 

  5. A. Padrol and J. Pfeifle, Electron. J. Combin, No. 1, 24 (2015).

    MathSciNet  Google Scholar 

  6. K. Pashkovich and S. Weltge, Operat. Res. Lett. 43 (2), 161–164 (2015).

    Article  MathSciNet  Google Scholar 

  7. L. B. Beasley and T. J. Laffey, Linear Algebra Appl. 431 (12), 2330–2335 (2009).

    Article  MATH  MathSciNet  Google Scholar 

  8. N. Gillis and F. Glineur, Linear Algebra Appl. 437 (11), 2685–2712 (2012).

    Article  MATH  MathSciNet  Google Scholar 

  9. M. Yannakakis, Comput. System Sci., No. 43, 441–466 (1991).

    Article  MATH  MathSciNet  Google Scholar 

  10. J. Gouveia, R. Z. Robinson, and R. R. Thomas, Discrete Comput. Geom. 50 (3), 1–11 (2013).

    Article  MathSciNet  Google Scholar 

  11. J. E. Cohen and U. G. Rothblum, Linear Algebra Appl. 190, 149–168 (1993).

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Higher School of Economics (National Research University), Myasnitskaya ul. 20, Moscow, 101000, Russia

    Ya. N. Shitov

Authors
  1. Ya. N. Shitov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ya. N. Shitov.

Additional information

Original Russian Text © Ya.N. Shitov, 2015, published in Doklady Akademii Nauk, 2015, Vol. 465, No. 3, pp. 287–289.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Shitov, Y.N. Extended formulations for convex heptagons. Dokl. Math. 92, 707–708 (2015). https://doi.org/10.1134/S1064562415060186

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1064562415060186

Keywords

Search

Navigation