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Branched coverings and Steiner ratio

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Publication:2827759
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DOI10.1111/itor.12182zbMath1348.90597DBLPjournals/itor/IvanovT16arXiv1412.5433OpenAlexW2162524197WikidataQ56288517 ScholiaQ56288517MaRDI QIDQ2827759

A. A. Tuzhilin, Alexandr O. Ivanov

Publication date: 21 October 2016

Published in: International Transactions in Operational Research (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.5433


zbMATH Keywords

branched coveringSteiner ratioisosceles tetrahedronflat conelocally isometric covering


Mathematics Subject Classification ID

Programming involving graphs or networks (90C35)


Related Items (2)

Local structure of Gromov-Hausdorff space, and isometric embeddings of finite metric spaces into this space ⋮ Minimal Networks: A Review




Cites Work

  • Unnamed Item
  • Steiner ratio for hyperbolic surfaces.
  • A proof of the Gilbert-Pollak conjecture on the Steiner ratio
  • The Steiner ratio
  • The Steiner ratio for manifolds.
  • A continuity criterion for Steiner-type ratios in the Gromov-Hausdorff space
  • The Steiner ratio Gilbert-Pollak conjecture is still open
  • One-dimensional Gromov minimal filling problem
  • On Steiner Minimal Trees with Rectilinear Distance
  • Steiner Minimal Trees




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