An O(nlogn) version of the Averbakh-Berman algorithm for the robust median of a tree

Gerth StøLting Brodal,Loukas Georgiadis,Irit Katriel

Operations Research Letters（2008）

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摘要

We show that the minmax regret median of a tree can be found in O(nlogn) time. This is obtained by a modification of Averbakh and Berman's O(nlog^2n)-time algorithm: we design a dynamic solution to their bottleneck subproblem of finding the middle of every root-leaf path in a tree.

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关键词

minmax regret,robust optimization,tree median,robust median,robust optimization.,minmax regret median,time algorithm,bottleneck subproblem,dynamic solution,root-leaf path,averbakh-berman algorithm

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