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arXiv · 2308.12404

Balanced Submodular Flows

Alpár Jüttner·Eszter Szabó
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Abstract

This paper examines the Balanced Submodular Flow Problem, that is the problem of finding a feasible submodular flow minimizing the difference between the flow values along the edges. A min-max formula is given to the problem and an algorithm is presented to solve it using $O(m^2)$ submodular function minimizations. Then, these result are extended to the weighted version of the problem. Finally, the Balanced Integer Submodular Flow Problem is discussed.

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Alpár Jüttner, Eszter Szabó. 2023-08-23. Balanced Submodular Flows. https://arxiv.org/abs/2308.12404

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