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Improved computation of plane Steiner minimal trees

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Publication:1186797
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DOI10.1007/BF01758759zbMath0756.05043OpenAlexW2045286914MaRDI QIDQ1186797

E. J. Cockayne, Denton E. Hewgill

Publication date: 28 June 1992

Published in: Algorithmica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01758759


zbMATH Keywords

Euclidean planeSteiner minimal treesSteiner treecomputation


Mathematics Subject Classification ID

Trees (05C05)


Related Items (3)

On the Steiner ratio in 3-space ⋮ An improved algorithm for computing Steiner minimal trees in Euclidean \(d\)-space ⋮ A neural network for the Steiner minimal tree problem




Cites Work

  • A linear time algorithm for full Steiner trees
  • Exact computation of Steiner minimal trees in the plane
  • A decomposition theorem on Euclidean Steiner minimal trees
  • The role of Steiner hulls in the solution to Steiner tree problems
  • On the Problem of Steiner
  • An algorithm for the steiner problem in the euclidean plane
  • An O(n logn) heuristic for steiner minimal tree problems on the euclidean metric
  • The Complexity of Computing Steiner Minimal Trees
  • On the Efficiency of the Algorithm for Steiner Minimal Trees




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