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

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Brodal, G.
Georgiadis, L.
Katriel, I.

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peer reviewed

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Operations Research Letters

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We show that the minmax regret median of a tree can be found in O(n log n) time. This is obtained by a modification of Averbakh and Berman's O(n log(2) n)-time algorithm: we design a dynamic solution to their bottleneck subproblem of finding the middle of every root-leaf path in a tree. (c) 2007 Elsevier B.V. All rights reserved.

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minmax regret, tree median, robust optimization, set union, location, network

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en

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Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μηχανικών Ηλεκτρονικών Υπολογιστών και Πληροφορικής

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