Kinetic Euclidean Minimum Spanning Tree in the Plane

  • Zahed Rahmati
  • Alireza Zarei
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7056)


This paper presents the first kinetic data structure (KDS) for maintenance of the Euclidean minimum spanning tree (EMST) on a set of n moving points in 2-dimensional space. We build a KDS of size O(n) in O(nlogn) preprocessing time by which their EMST is maintained efficiently during the motion. In terms of the KDS performance parameters, our KDS is responsive, local, and compact.


computational geometry Euclidean minimum spanning tree kinetic data structures 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Zahed Rahmati
    • 1
  • Alireza Zarei
    • 1
  1. 1.Department of Mathematical SciencesSharif University of TechnologyTehranIran

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