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The pos/neg-weighted median problem on block graphs with subgraph-shaped customers

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Abstract

In this paper we consider the pos/neg weighted 1-median problem on block graphs where the customers are modeled as subgraphs. Under the condition that the block graph has unit edge lengths and the median is restricted to the vertex of the block graph, we devise a linear time algorithm for this problem.

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Authors and Affiliations

  1. Department of Mathematics, Shanghai University, Shanghai, 200444, People’s Republic of China

    Xiaoqin Zhang, Liying Kang & Yukun Cheng

  2. School of Mathematics and Statistics, Zhejiang University of Finance and Economics, Hangzhou, 310018, People’s Republic of China

    Yukun Cheng

Authors
  1. Xiaoqin Zhang
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  2. Liying Kang
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  3. Yukun Cheng
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Corresponding author

Correspondence to Liying Kang.

Additional information

Communicated by C.H. Cap.

This research was partially supported by the National Nature Science Foundation of China (No. 10971131), the ShuGuang Plan of Shanghai Education Development Foundation (No. 06SG42) and Shanghai Leading Academic Discipline Project (No. S30104).

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Zhang, X., Kang, L. & Cheng, Y. The pos/neg-weighted median problem on block graphs with subgraph-shaped customers. Computing 88, 97–110 (2010). https://doi.org/10.1007/s00607-010-0084-1

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  • DOI: https://doi.org/10.1007/s00607-010-0084-1

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