@InProceedings{lauria_et_al:LIPIcs.CCC.2017.2, author = {Lauria, Massimo and Nordstr\"{o}m, Jakob}, title = {{Graph Colouring is Hard for Algorithms Based on Hilbert's Nullstellensatz and Gr\"{o}bner Bases}}, booktitle = {32nd Computational Complexity Conference (CCC 2017)}, pages = {2:1--2:20}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-040-8}, ISSN = {1868-8969}, year = {2017}, volume = {79}, editor = {O'Donnell, Ryan}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CCC.2017.2}, URN = {urn:nbn:de:0030-drops-75410}, doi = {10.4230/LIPIcs.CCC.2017.2}, annote = {Keywords: proof complexity, Nullstellensatz, Gr\"{o}bner basis, polynomial calculus, cutting planes, colouring} }