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arXiv · 2211.09606

Incremental Approximate Maximum Flow in $m^{1/2+o(1)}$ update time

Gramoz Goranci·Monika Henzinger
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Abstract

We show an $(1+\epsilon)$-approximation algorithm for maintaining maximum $s$-$t$ flow under $m$ edge insertions in $m^{1/2+o(1)} \epsilon^{-1/2}$ amortized update time for directed, unweighted graphs. This constitutes the first sublinear dynamic maximum flow algorithm in general sparse graphs with arbitrarily good approximation guarantee.

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Gramoz Goranci, Monika Henzinger. 2022-11-17. Incremental Approximate Maximum Flow in $m^{1/2+o(1)}$ update time. https://arxiv.org/abs/2211.09606

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