Incremental approximate maximum flow in m1/2+o(1) update time
Goranci G, Henzinger MH. Incremental approximate maximum flow in m1/2+o(1) update time. arXiv, 2211.09606.
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Goranci, Gramoz;
Henzinger, MonikaISTA 
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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Date Published
2022-11-17
Journal Title
arXiv
Article Number
2211.09606
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Cite this
Goranci G, Henzinger MH. Incremental approximate maximum flow in m1/2+o(1) update time. arXiv. doi:10.48550/arXiv.2211.09606
Goranci, G., & Henzinger, M. H. (n.d.). Incremental approximate maximum flow in m1/2+o(1) update time. arXiv. https://doi.org/10.48550/arXiv.2211.09606
Goranci, Gramoz, and Monika H Henzinger. “Incremental Approximate Maximum Flow in M1/2+o(1) Update Time.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2211.09606.
G. Goranci and M. H. Henzinger, “Incremental approximate maximum flow in m1/2+o(1) update time,” arXiv. .
Goranci G, Henzinger MH. Incremental approximate maximum flow in m1/2+o(1) update time. arXiv, 2211.09606.
Goranci, Gramoz, and Monika H. Henzinger. “Incremental Approximate Maximum Flow in M1/2+o(1) Update Time.” ArXiv, 2211.09606, doi:10.48550/arXiv.2211.09606.
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