@InProceedings{caceres:LIPIcs.ICALP.2023.31, author = {C\'{a}ceres, Manuel}, title = {{Minimum Chain Cover in Almost Linear Time}}, booktitle = {50th International Colloquium on Automata, Languages, and Programming (ICALP 2023)}, pages = {31:1--31:12}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-278-5}, ISSN = {1868-8969}, year = {2023}, volume = {261}, editor = {Etessami, Kousha and Feige, Uriel and Puppis, Gabriele}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2023.31}, URN = {urn:nbn:de:0030-drops-180834}, doi = {10.4230/LIPIcs.ICALP.2023.31}, annote = {Keywords: Minimum chain cover, directed acyclic graph, minimum flow, flow decomposition, mergeable dictionaries, amortized running time} }