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Efficient minimum spanning tree construction with Delaynay triangulation

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Publication:1847389
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DOI10.1016/S0020-0190(01)00232-0zbMath1046.68116OpenAlexW2016523183MaRDI QIDQ1847389

Hai Zhou, William Nicholls, Narendra Shenoy

Publication date: 24 June 2003

Published in: Information Processing Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0020-0190(01)00232-0


zbMATH Keywords

spanning graphs


Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)


Related Items (3)

The saga of minimum spanning trees ⋮ On approximations for constructing 1-line minimum rectilinear Steiner trees in the Euclidean plane \(\mathbb{R}^2\) ⋮ \(1\)-line minimum rectilinear Steiner trees and related problems



Cites Work

  • Unnamed Item
  • Unnamed Item
  • An O(n log n) plane-sweep algorithm for \(L_ 1\) and \(L_{\infty}\) Delaunay triangulations
  • On computing all north-east nearest neighbors in the \(L_ 1\) metric
  • A sweepline algorithm for Voronoi diagrams
  • Low-degree minimum spanning trees
  • Priority Search Trees
  • On Constructing Minimum Spanning Trees in k-Dimensional Spaces and Related Problems
  • An O ( n log n ) Algorithm for Rectilinear Minimal Spanning Trees


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