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DOI: 10.4230/LIPIcs.ICALP.2021.114
URN: urn:nbn:de:0030-drops-141832
URL: https://drops.dagstuhl.de/opus/volltexte/2021/14183/
Zhang, Tianyi
Deterministic Maximum Flows in Simple Graphs
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Abstract
In this paper we are interested in deterministically computing maximum flows in undirected simple graphs where edges have unit capacities. When the input graph has n vertices and m edges, and the maximum flow is known to be upper bounded by τ as prior knowledge, our algorithm has running time Õ(m + n^{5/3}τ^{1/2}); in the extreme case where τ = Θ(n), our algorithm has running time Õ(n^{2.17}). This always improves upon the previous best deterministic upper bound Õ(n^{9/4}τ^{1/8}) by [Duan, 2013]. Furthermore, when τ ≥ n^{0.67} our algorithm is faster than a classical upper bound of O(m + nτ^{3/2}) by [Karger and Levin, 1998].
BibTeX - Entry
@InProceedings{zhang:LIPIcs.ICALP.2021.114,
author = {Zhang, Tianyi},
title = {{Deterministic Maximum Flows in Simple Graphs}},
booktitle = {48th International Colloquium on Automata, Languages, and Programming (ICALP 2021)},
pages = {114:1--114:16},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-95977-195-5},
ISSN = {1868-8969},
year = {2021},
volume = {198},
editor = {Bansal, Nikhil and Merelli, Emanuela and Worrell, James},
publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
address = {Dagstuhl, Germany},
URL = {https://drops.dagstuhl.de/opus/volltexte/2021/14183},
URN = {urn:nbn:de:0030-drops-141832},
doi = {10.4230/LIPIcs.ICALP.2021.114},
annote = {Keywords: graph algorithms, maximum flows, dynamic data structures}
}
| Keywords: | graph algorithms, maximum flows, dynamic data structures | |
| Seminar: | 48th International Colloquium on Automata, Languages, and Programming (ICALP 2021) | |
| Issue date: | 2021 | |
| Date of publication: | 02.07.2021 |
