A Linear Time Algorithm for Computing Minmax Regret 1-Median on a Tree

  • Binay Bhattacharya
  • Tsunehiko Kameda
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7434)


In a model of facility location problem, the uncertainty in the weight of a vertex is represented by an interval of weights, and minimizing the maximum “regret” is the goal. The most efficient previously known algorithm for finding the minmax regret 1-median on trees with positive vertex weights takes O(nlogn) time. We improve it to O(n), solving the open problem posed by Brodal et al. in [3].


Problem Instance Edge Length Facility Location Problem Vertex Weight Pruning Algorithm 
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 2012

Authors and Affiliations

  • Binay Bhattacharya
    • 1
  • Tsunehiko Kameda
    • 1
  1. 1.School of Computing ScienceSimon Fraser UniversityCanada

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