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An \(O(n(m+n\log n)\log n)\) time algorithm to solve the minimum cost tension problem

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Abstract

This paper presents an \(O(n(m+n\log n)\log n)\) time algorithm to solve the minimum cost tension problem, where n and m denote the number of nodes and number of arcs, respectively. The algorithm is inspired by Orlin (Oper Res 41:338–350, 1993) and improves upon the previous best strongly polynomial time of \(O(\max \{m^3n, m^2\log n(m+n\log n)\})\) due to Ghiyasvand (J Comb Optim 34:203–217, 2017).

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Acknowledgements

I would like to express great appreciation to the editor and three anonymous reviewers for their valuable comments and suggestions, which have helped to improve the quality and presentation of this paper.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Bu-Ali Sina University, Hamedan, Iran

    Mehdi Ghiyasvand

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  1. Mehdi Ghiyasvand
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Correspondence to Mehdi Ghiyasvand.

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Ghiyasvand, M. An \(O(n(m+n\log n)\log n)\) time algorithm to solve the minimum cost tension problem. J Comb Optim 37, 957–969 (2019). https://doi.org/10.1007/s10878-018-0331-5

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  • DOI: https://doi.org/10.1007/s10878-018-0331-5

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