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An O(N log N) minimal spanning tree algorithm for N points in the plane

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Publication:1082081
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DOI10.1007/BF01939358zbMath0602.68053MaRDI QIDQ1082081

Ruei-Chuan Chang, Richard Chia-Tung Lee

Publication date: 1986

Published in: BIT (Search for Journal in Brave)


zbMATH Keywords

parallel implementationtime complexityVoronoi diagramsdivide-and-conquer algorithm


Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Graph theory (including graph drawing) in computer science (68R10)


Related Items

On a proposed divide-and-conquer minimal spanning tree algorithm ⋮ Kinetic Euclidean minimum spanning tree in the plane ⋮ A divide-and-conquer algorithm for constructing relative neighborhood graph ⋮ On the complexity of two circle connecting problems



Cites Work

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  • Optimal speeding up of parallel algorithms based upon the divide-and- conquer strategy
  • Finding minimal spanning trees in a Euclidean coordinate space
  • On the worst case of a minimal spanning tree algorithm for euclidean space
  • A parallel algorithm for constructing minimum spanning trees
  • Two algorithms for constructing a Delaunay triangulation
  • On Constructing Minimum Spanning Trees in k-Dimensional Spaces and Related Problems
  • Fast Algorithms for Constructing Minimal Spanning Trees in Coordinate Spaces
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