@InProceedings{majewski_et_al:LIPIcs.STACS.2023.46, author = {Majewski, Konrad and Pilipczuk, Micha{\l} and Soko{\l}owski, Marek}, title = {{Maintaining CMSO₂ Properties on Dynamic Structures with Bounded Feedback Vertex Number}}, booktitle = {40th International Symposium on Theoretical Aspects of Computer Science (STACS 2023)}, pages = {46:1--46:13}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-266-2}, ISSN = {1868-8969}, year = {2023}, volume = {254}, editor = {Berenbrink, Petra and Bouyer, Patricia and Dawar, Anuj and Kant\'{e}, Mamadou Moustapha}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.STACS.2023.46}, URN = {urn:nbn:de:0030-drops-176981}, doi = {10.4230/LIPIcs.STACS.2023.46}, annote = {Keywords: feedback vertex set, CMSO₂ formula, data structure, dynamic graphs, fixed-parameter tractability} }