@InProceedings{dalirrooyfard_et_al:LIPIcs.ICALP.2020.35, author = {Dalirrooyfard, Mina and Vassilevska Williams, Virginia}, title = {{Conditionally Optimal Approximation Algorithms for the Girth of a Directed Graph}}, booktitle = {47th International Colloquium on Automata, Languages, and Programming (ICALP 2020)}, pages = {35:1--35:20}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-138-2}, ISSN = {1868-8969}, year = {2020}, volume = {168}, editor = {Czumaj, Artur and Dawar, Anuj and Merelli, Emanuela}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2020.35}, URN = {urn:nbn:de:0030-drops-124421}, doi = {10.4230/LIPIcs.ICALP.2020.35}, annote = {Keywords: Shortest cycle, Girth, Graph algorithms, Approximation algorithms, Fine-grained complexity, Roundtrip Spanner} }