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Partial inverse min–max spanning tree problem

Author

Listed:
  • Javad Tayyebi

    (Birjand University of Technology)

  • Ali Reza Sepasian

    (Fasa University)

Abstract

This paper addresses a partial inverse combinatorial optimization problem, called the partial inverse min–max spanning tree problem. For a given weighted graph G and a forest F of the graph, the problem is to modify weights at minimum cost so that a bottleneck (min–max) spanning tree of G contains the forest. In this paper, the modifications are measured by the weighted Manhattan distance. The main contribution is to present two algorithms to solve the problem in polynomial time. This result is considerable because the partial inverse minimum spanning tree problem, which is closely related to this problem, is proved to be NP-hard in the literature. Since both the algorithms have the same worse-case complexity, some computational experiments are reported to compare their running time.

Suggested Citation

  • Javad Tayyebi & Ali Reza Sepasian, 2020. "Partial inverse min–max spanning tree problem," Journal of Combinatorial Optimization, Springer, vol. 40(4), pages 1075-1091, November.
    • Handle: RePEc:spr:jcomop:v:40:y:2020:i:4:d:10.1007_s10878-020-00656-3
    DOI: 10.1007/s10878-020-00656-3
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    References listed on IDEAS

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    6. Xiucui Guan & Panos Pardalos & Xia Zuo, 2015. "Inverse Max + Sum spanning tree problem by modifying the sum-cost vector under weighted $$l_\infty $$ l ∞ Norm," Journal of Global Optimization, Springer, vol. 61(1), pages 165-182, January.
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