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The connected p-median problem on block graphs

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Abstract

In this paper, we study a variant of the p-median problem on block graphs G in which the p-median is asked to be connected, and this problem is called the connected p-median problem. We first show that the connected p-median problem is NP-hard on block graphs with multiple edge weights. Then, we propose an O(n)-time algorithm for solving the problem on unit-edge-weighted block graphs, where n is the number of vertices in G.

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Acknowledgments

This work was supported in part by the National Science Council of Republic of China under contracts NSC 98-2221-E-128-004-, NSC 100-2221-E-011-067-MY3, and NSC 100-2221-E-128-003-.

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Authors and Affiliations

  1. Department of Information Management, National Taiwan University of Science and Technology, Taipei, Taiwan

    Shun-Chieh Chang & Yue-Li Wang

  2. Department of Information Management, Shih Hsin University, Taipei, Taiwan

    William Chung-Kung Yen & Jia-Jie Liu

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  1. Shun-Chieh Chang
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  2. William Chung-Kung Yen
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  3. Yue-Li Wang
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  4. Jia-Jie Liu
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Correspondence to Yue-Li Wang.

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Chang, SC., Yen, W.CK., Wang, YL. et al. The connected p-median problem on block graphs. Optim Lett 10, 1191–1201 (2016). https://doi.org/10.1007/s11590-015-0912-5

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