@InProceedings{bousquet_et_al:LIPIcs.STACS.2024.21, author = {Bousquet, Nicolas and Feuilloley, Laurent and Zeitoun, S\'{e}bastien}, title = {{Local Certification of Local Properties: Tight Bounds, Trade-Offs and New Parameters}}, booktitle = {41st International Symposium on Theoretical Aspects of Computer Science (STACS 2024)}, pages = {21:1--21:18}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-311-9}, ISSN = {1868-8969}, year = {2024}, volume = {289}, editor = {Beyersdorff, Olaf and Kant\'{e}, Mamadou Moustapha and Kupferman, Orna and Lokshtanov, Daniel}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.STACS.2024.21}, URN = {urn:nbn:de:0030-drops-197317}, doi = {10.4230/LIPIcs.STACS.2024.21}, annote = {Keywords: Local certification, local properties, proof-labeling schemes, locally checkable proofs, optimal certification size, colorability, dominating set, perfect matching, fault-tolerance, graph structure} }