{"publication_status":"published","scopus_import":"1","publication_identifier":{"isbn":["9783959773720"]},"date_created":"2026-02-17T08:26:06Z","conference":{"end_date":"2025-07-11","location":"Aarhus, Denmark","start_date":"2025-07-08","name":"ICALP: Automata, Languages and Programming"},"date_updated":"2026-02-18T09:06:12Z","department":[{"_id":"MoHe"}],"volume":334,"type":"conference","doi":"10.4230/lipics.icalp.2025.91","publication":"52nd International Colloquium on Automata, Languages, and Programming","article_processing_charge":"No","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","intvolume":"       334","day":"30","author":[{"last_name":"Goranci","first_name":"Gramoz","full_name":"Goranci, Gramoz"},{"full_name":"Henzinger, Monika H","id":"540c9bbd-f2de-11ec-812d-d04a5be85630","orcid":"0000-0002-5008-6530","first_name":"Monika H","last_name":"Henzinger"},{"full_name":"Räcke, Harald","first_name":"Harald","last_name":"Räcke"},{"full_name":"Sricharan, A.","first_name":"A.","last_name":"Sricharan"}],"publisher":"Schloss Dagstuhl - Leibniz-Zentrum für Informatik","corr_author":"1","oa_version":"Published Version","has_accepted_license":"1","year":"2025","ec_funded":1,"alternative_title":["LIPIcs"],"external_id":{"arxiv":["2502.09105"]},"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"page":"91:1-91:20","project":[{"_id":"bd9ca328-d553-11ed-ba76-dc4f890cfe62","name":"The design and evaluation of modern fully dynamic data structures","grant_number":"101019564","call_identifier":"H2020"},{"_id":"34def286-11ca-11ed-8bc3-da5948e1613c","grant_number":"Z00422","name":"Efficient algorithms"},{"name":"Static and Dynamic Hierarchical Graph Decompositions","grant_number":"I05982","_id":"bda196b2-d553-11ed-ba76-8e8ee6c21103"},{"_id":"bd9e3a2e-d553-11ed-ba76-8aa684ce17fe","name":"Fast Algorithms for a Reactive Network Layer","grant_number":"P33775"}],"file":[{"creator":"dernst","access_level":"open_access","success":1,"file_name":"2025_ICALP_Goranci.pdf","date_updated":"2026-02-18T09:02:33Z","file_id":"21315","content_type":"application/pdf","date_created":"2026-02-18T09:02:33Z","checksum":"c178cf554e44204b9f64ebd9b54cf7ba","file_size":944824,"relation":"main_file"}],"citation":{"mla":"Goranci, Gramoz, et al. “Incremental Approximate Maximum Flow via Residual Graph Sparsification.” <i>52nd International Colloquium on Automata, Languages, and Programming</i>, vol. 334, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2025, p. 91:1-91:20, doi:<a href=\"https://doi.org/10.4230/lipics.icalp.2025.91\">10.4230/lipics.icalp.2025.91</a>.","short":"G. Goranci, M. Henzinger, H. Räcke, A. Sricharan, in:, 52nd International Colloquium on Automata, Languages, and Programming, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2025, p. 91:1-91:20.","chicago":"Goranci, Gramoz, Monika Henzinger, Harald Räcke, and A. Sricharan. “Incremental Approximate Maximum Flow via Residual Graph Sparsification.” In <i>52nd International Colloquium on Automata, Languages, and Programming</i>, 334:91:1-91:20. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2025. <a href=\"https://doi.org/10.4230/lipics.icalp.2025.91\">https://doi.org/10.4230/lipics.icalp.2025.91</a>.","ama":"Goranci G, Henzinger M, Räcke H, Sricharan A. Incremental approximate maximum flow via residual graph sparsification. In: <i>52nd International Colloquium on Automata, Languages, and Programming</i>. Vol 334. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2025:91:1-91:20. doi:<a href=\"https://doi.org/10.4230/lipics.icalp.2025.91\">10.4230/lipics.icalp.2025.91</a>","ieee":"G. Goranci, M. Henzinger, H. Räcke, and A. Sricharan, “Incremental approximate maximum flow via residual graph sparsification,” in <i>52nd International Colloquium on Automata, Languages, and Programming</i>, Aarhus, Denmark, 2025, vol. 334, p. 91:1-91:20.","ista":"Goranci G, Henzinger M, Räcke H, Sricharan A. 2025. Incremental approximate maximum flow via residual graph sparsification. 52nd International Colloquium on Automata, Languages, and Programming. ICALP: Automata, Languages and Programming, LIPIcs, vol. 334, 91:1-91:20.","apa":"Goranci, G., Henzinger, M., Räcke, H., &#38; Sricharan, A. (2025). Incremental approximate maximum flow via residual graph sparsification. In <i>52nd International Colloquium on Automata, Languages, and Programming</i> (Vol. 334, p. 91:1-91:20). Aarhus, Denmark: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href=\"https://doi.org/10.4230/lipics.icalp.2025.91\">https://doi.org/10.4230/lipics.icalp.2025.91</a>"},"_id":"21280","arxiv":1,"ddc":["000"],"oa":1,"license":"https://creativecommons.org/licenses/by/4.0/","language":[{"iso":"eng"}],"title":"Incremental approximate maximum flow via residual graph sparsification","month":"06","OA_place":"publisher","OA_type":"gold","abstract":[{"text":"We give an algorithm that, with high probability, maintains a (1-ε)-approximate s-t maximum flow in undirected, uncapacitated n-vertex graphs undergoing m edge insertions in Õ(m+ n F^*/ε) total update time, where F^{*} is the maximum flow on the final graph. This is the first algorithm to achieve polylogarithmic amortized update time for dense graphs (m = Ω(n²)), and more generally, for graphs where F^* = Õ(m/n). At the heart of our incremental algorithm is the residual graph sparsification technique of Karger and Levine [SICOMP '15], originally designed for computing exact maximum flows in the static setting. Our main contributions are (i) showing how to maintain such sparsifiers for approximate maximum flows in the incremental setting and (ii) generalizing the cut sparsification framework of Fung et al. [SICOMP '19] from undirected graphs to balanced directed graphs.","lang":"eng"}],"quality_controlled":"1","date_published":"2025-06-30T00:00:00Z","file_date_updated":"2026-02-18T09:02:33Z","status":"public","acknowledgement":"Monika Henzinger and A. R. Sricharan: This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation\r\nprogramme (MoDynStruct, No. 101019564) and the Austrian Science Fund (FWF) grant DOI\r\n10.55776/Z422, grant DOI 10.55776/I5982, and grant DOI 10.55776/P33775 with additional funding from the netidee SCIENCE Stiftung, 2020–2024. Harald Räcke: This project has received funding from the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) – 498605858 and 470029389."}