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An improved algorithm for the minmax regret path center problem on trees
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An improved algorithm for the minmax regret path center problem on trees

Biing-Feng Wang, Jhih-Hong YeChih-Yu Li
Journal of Computer and System Sciences, 卷.114, 頁碼.36-47
12/2020

摘要

Centers Location theory Minmax regret optimization Path centers Trees Theoretical Computer Science Computer Networks and Communications Computational Theory and Mathematics Applied Mathematics
This paper studies the problem of finding a path center on a tree in which vertex weights are uncertain and the uncertainty is described by given intervals. It is required to find a minmax regret solution, which minimizes the worst-case loss in the objective function. An O(n log n)-time algorithm is presented, improving the previous upper bound of O(n 2 ).

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