@InProceedings{baswana_et_al:LIPIcs.ICALP.2024.17, author = {Baswana, Surender and Bhanja, Koustav}, title = {{Vital Edges for (s,t)-Mincut: Efficient Algorithms, Compact Structures, \& Optimal Sensitivity Oracles}}, booktitle = {51st International Colloquium on Automata, Languages, and Programming (ICALP 2024)}, pages = {17:1--17:20}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-322-5}, ISSN = {1868-8969}, year = {2024}, volume = {297}, editor = {Bringmann, Karl and Grohe, Martin and Puppis, Gabriele and Svensson, Ola}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2024.17}, URN = {urn:nbn:de:0030-drops-201601}, doi = {10.4230/LIPIcs.ICALP.2024.17}, annote = {Keywords: maxflow, vital edges, graph algorithms, structures, st-cuts, sensitivity oracle} }