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The Steiner problem on surfaces of revolution

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Publication:742573
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DOI10.1007/s00373-012-1262-zzbMath1305.51005OpenAlexW2022465331MaRDI QIDQ742573

Ryan J. Jensen, Elena A. Caffarelli, Denise M. Halverson

Publication date: 19 September 2014

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00373-012-1262-z


zbMATH Keywords

Steiner problemsurface of revolutionnon-planar surfaceweighted plane


Mathematics Subject Classification ID

Steiner systems in finite geometry (51E10) Optimization of shapes other than minimal surfaces (49Q10)




Cites Work

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  • A variational approach to the Steiner network problem
  • Hexagonal coordinate systems and Steiner minimal trees
  • Existence theorems for a class of Chandrasekhar H-equation with perturbation in transport theory
  • The Steiner tree problem
  • Steiner polygons in the Steiner problem
  • On the Problem of Steiner
  • An Approximation Scheme for Finding Steiner Trees with Obstacles
  • Steiner's problem and fagnano's result on the sphere
  • The Complexity of Computing Steiner Minimal Trees
  • The Steiner problem: a survey
  • Shortest Networks for Smooth Curves
  • Steiner Minimal Trees
  • Steiner trees on curved surfaces


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