@InProceedings{brianski_et_al:LIPIcs.ICALP.2022.29, author = {Bria\'{n}ski, Marcin and Kouteck\'{y}, Martin and Kr\'{a}l', Daniel and Pek\'{a}rkov\'{a}, Krist\'{y}na and Schr\"{o}der, Felix}, title = {{Characterization of Matrices with Bounded Graver Bases and Depth Parameters and Applications to Integer Programming}}, booktitle = {49th International Colloquium on Automata, Languages, and Programming (ICALP 2022)}, pages = {29:1--29:20}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-235-8}, ISSN = {1868-8969}, year = {2022}, volume = {229}, editor = {Boja\'{n}czyk, Miko{\l}aj and Merelli, Emanuela and Woodruff, David P.}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2022.29}, URN = {urn:nbn:de:0030-drops-163702}, doi = {10.4230/LIPIcs.ICALP.2022.29}, annote = {Keywords: Integer programming, width parameters, matroids, Graver basis, tree-depth, fixed parameter tractability} }