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International Conference on Combinatorial Optimization and Applications

COCOA 2017: Combinatorial Optimization and Applications pp 278–285Cite as

The 2-Median Problem on Cactus Graphs with Positive and Negative Weights

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10627))

Abstract

This paper studies the problem of locating two vertices in a cactus with positive and negative vertex weights. The problem has objective to minimize the sum of minimum weighted distances from every vertex of the cactus to the two medians. We develop an \(O(n^2)\) algorithm for the 2-median problem, where n is the number of vertices of the cactus.

Research was partially supported by NSFC (grant numbers 11571222, 11471210, 61672006).

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References

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Author information

Authors and Affiliations

  1. College of Mathematics, Fuyang Normal University, Fuyang, 236041, People’s Republic of China

    Chunsong Bai

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

    Liying Kang

Authors
  1. Chunsong Bai
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  2. Liying Kang
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Corresponding author

Correspondence to Liying Kang .

Editor information

Editors and Affiliations

  1. Shanghai Jiao Tong University, Shanghai, China

    Xiaofeng Gao

  2. Harbin Institute of Technology, Shenzhen, China

    Hongwei Du

  3. Kennesaw State University, Kennesaw, Georgia, USA

    Meng Han

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Cite this paper

Bai, C., Kang, L. (2017). The 2-Median Problem on Cactus Graphs with Positive and Negative Weights. In: Gao, X., Du, H., Han, M. (eds) Combinatorial Optimization and Applications. COCOA 2017. Lecture Notes in Computer Science(), vol 10627. Springer, Cham. https://doi.org/10.1007/978-3-319-71150-8_24

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  • DOI: https://doi.org/10.1007/978-3-319-71150-8_24

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-71149-2

  • Online ISBN: 978-3-319-71150-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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