This paper describes the heuristics used by the LASAOFOOFUBESTINNRRALLDECA team for the CG:SHOP 2022 challenge. We introduce a new greedy algorithm that exploits information about the challenge instances, and hybridize two classical local-search schemes with weighting schemes. We found 211/225 best-known solutions. Hence, with the algorithms presented in this article, our team was able to reach the 3rd place of the challenge, among 40 participating teams.
@InProceedings{fontan_et_al:LIPIcs.SoCG.2022.73, author = {Fontan, Florian and Lafourcade, Pascal and Libralesso, Luc and Mom\`{e}ge, Benjamin}, title = {{Local Search with Weighting Schemes for the CG:SHOP 2022 Competition}}, booktitle = {38th International Symposium on Computational Geometry (SoCG 2022)}, pages = {73:1--73:6}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-227-3}, ISSN = {1868-8969}, year = {2022}, volume = {224}, editor = {Goaoc, Xavier and Kerber, Michael}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SoCG.2022.73}, URN = {urn:nbn:de:0030-drops-160811}, doi = {10.4230/LIPIcs.SoCG.2022.73}, annote = {Keywords: heuristics, vertex coloring, digital geometry} }
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