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arXiv · 1307.6809

A strongly polynomial algorithm for generalized flow maximization

László A. Végh
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Abstract

A strongly polynomial algorithm is given for the generalized flow maximization problem. It uses a new variant of the scaling technique, called continuous scaling. The main measure of progress is that within a strongly polynomial number of steps, an arc can be identified that must be tight in every dual optimal solution, and thus can be contracted. As a consequence of the result, we also obtain a strongly polynomial algorithm for the linear feasibility problem with at most two nonzero entries per column in the constraint matrix.

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László A. Végh. 2016-02-28. A strongly polynomial algorithm for generalized flow maximization. https://arxiv.org/abs/1307.6809

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