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

  • Mehdi Ghiyasvand
Article
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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).

Keywords

Network flows Minimum cost tension problem Strongly polynomial time 

Notes

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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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of ScienceBu-Ali Sina UniversityHamedanIran

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