@InProceedings{kante_et_al:LIPIcs.STACS.2022.40, author = {Kant\'{e}, Mamadou Moustapha and Kim, Eun Jung and Kwon, O-joung and Oum, Sang-il}, title = {{Obstructions for Matroids of Path-Width at most k and Graphs of Linear Rank-Width at most k}}, booktitle = {39th International Symposium on Theoretical Aspects of Computer Science (STACS 2022)}, pages = {40:1--40:14}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-222-8}, ISSN = {1868-8969}, year = {2022}, volume = {219}, editor = {Berenbrink, Petra and Monmege, Benjamin}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.STACS.2022.40}, URN = {urn:nbn:de:0030-drops-158507}, doi = {10.4230/LIPIcs.STACS.2022.40}, annote = {Keywords: path-width, matroid, linear rank-width, graph, forbidden minor, vertex-minor, pivot-minor} }