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New Upper Bounds on Continuous Tree Edge-Partition Problem

  • Robert Benkoczi
  • Binay Bhattacharya
  • Qiaosheng Shi
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5034)

Abstract

We consider continuous tree edge-partition problem on a edge-weighted tree network. A continuous p-edge-partition of a tree is to divide it into p subtrees by selecting p − 1 cut points along the edges of the underlying tree. The objective is to maximize (minimize) the minimum (maximum) length of the subtrees. We present an O(nlog2 n)-time algorithm for the max-min problem which is based on parametric search technique [7] and an efficient solution to the ratio search problem. Similar algorithmic technique, when applied to the min-max problem, results in an O(nh T logn)-time algorithm where h T is the height of the underlying tree network. The previous results for both max-min and min-max problems are O(n 2) [5].

Keywords

Tree Network Feasibility Test Upper Bound Cluster Vertex Leaf Vertex 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Robert Benkoczi
    • 1
  • Binay Bhattacharya
    • 2
  • Qiaosheng Shi
    • 2
  1. 1.Mathematics and Computer ScienceUniversity of LethbridgeLethbridgeCanada
  2. 2.School of Computing ScienceSimon Fraser UniversityBurnaby B.C.Canada

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