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The Center Location Improvement Problem Under the Hamming Distance
Authors:Binwu?Zhang  Email author" target="_blank">Jianzhong?ZhangEmail author  Yong?He
Institution:(1) Department of Mathematics, Zhejiang University, Hangzhou, 310027, China;(2) Department of Mathematics and Physics, Hohai University, Changzhou Campus, Changzhou, 213022, China;(3) Department of Mathematics, City University of Hong Kong, Hong Kong, China
Abstract:In this paper, we consider the center location improvement problems under the sum-type and bottleneck-type Hamming distance. For the sum-type problem, we show that achieving an algorithm with a worst-case ratio of O(log |V|) is NP-hard, and for the bottleneck-type problem, we present a strongly polynomial algorithm.
Keywords:center location problem  inapproximability  Hamming distance
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