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The p-maxian problem on block graphs

Author

Listed:
  • Liying Kang

    (Shanghai University)

  • Yukun Cheng

    (Shanghai University
    Zhejiang University of Finance and Economics)

Abstract

This paper deals with the p-maxian problem on block graphs with unit edge length. It is shown that the two points with maximum distance provide an optimal solution for the 2-maxian problem of block graphs except for K 3. It can easily be extended to the p-maxian problem of block graphs. So we solve the p-maxian problem on block graphs in linear time.

Suggested Citation

  • Liying Kang & Yukun Cheng, 2010. "The p-maxian problem on block graphs," Journal of Combinatorial Optimization, Springer, vol. 20(2), pages 131-141, August.
    • Handle: RePEc:spr:jcomop:v:20:y:2010:i:2:d:10.1007_s10878-008-9198-1
    DOI: 10.1007/s10878-008-9198-1
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    References listed on IDEAS

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    1. S. S. Ting, 1984. "A Linear-Time Algorithm for Maxisum Facility Location on Tree Networks," Transportation Science, INFORMS, vol. 18(1), pages 76-84, February.
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    3. Elisabeth Gassner, 2008. "The inverse 1-maxian problem with edge length modification," Journal of Combinatorial Optimization, Springer, vol. 16(1), pages 50-67, July.
    4. G. Y. Handler, 1973. "Minimax Location of a Facility in an Undirected Tree Graph," Transportation Science, INFORMS, vol. 7(3), pages 287-293, August.
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    Cited by:

    1. Trung Kien Nguyen & Nguyen Thanh Hung & Huong Nguyen-Thu, 2020. "A linear time algorithm for the p-maxian problem on trees with distance constraint," Journal of Combinatorial Optimization, Springer, vol. 40(4), pages 1030-1043, November.

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