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Maximum Flow by Network Reconstruction Method

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Intelligent Computing & Optimization (ICO 2022)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 569))

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Abstract

A maximum flow algorithm based on network reconstruction method is proposed in this paper. The principal idea of the method is to identify an outmost route in the network and remove it in such a way that the reduced network has the same maximum value as the original network. The complexity of the algorithm decreases as number of iterations increases. Numerical illustrations and computational comparisons are used to prove the validity and efficiency of the algorithm respectively. Computational comparisons have revealed that the proposed method requires less number of iterations as compared to other algorithms.

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Correspondence to Elias Munapo .

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Munapo, E., Tawanda, T., Nyamugure, P., Kumar, S. (2023). Maximum Flow by Network Reconstruction Method. In: Vasant, P., Weber, GW., Marmolejo-Saucedo, J.A., Munapo, E., Thomas, J.J. (eds) Intelligent Computing & Optimization. ICO 2022. Lecture Notes in Networks and Systems, vol 569. Springer, Cham. https://doi.org/10.1007/978-3-031-19958-5_87

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