Skip to main content
SpringerLink
Log in

The Steiner and Gromov–Steiner Ratios and Steiner Subratio in the Space of Compacta in the Euclidean Plane with Hausdorff Distance

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

Abstract

The Steiner and Gromov–Steiner ratios and Steiner subratio are fundamental characteristics of metric spaces. In this work, an attempt is made to find these ratios for the space of compacta in Euclidean space with Hausdorff metric.

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. A. O. Ivanov and A. A. Tuzhilin, “One-dimensional Gromov minimal filling problem,” Sb. Math., 203, No. 5, 677–726 (2012).

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    Z. Ovsyannikov

Authors
  1. Z. Ovsyannikov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Z. Ovsyannikov.

Additional information

Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 18, No. 2, pp. 157–165, 2013.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ovsyannikov, Z. The Steiner and Gromov–Steiner Ratios and Steiner Subratio in the Space of Compacta in the Euclidean Plane with Hausdorff Distance. J Math Sci 203, 858–863 (2014). https://doi.org/10.1007/s10958-014-2177-4

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10958-014-2177-4

Keywords

Search

Navigation