@InProceedings{antunes_et_al:LIPIcs.ESA.2017.8, author = {Antunes, Daniel and Mathieu, Claire and Mustafa, Nabil H.}, title = {{Combinatorics of Local Search: An Optimal 4-Local Hall's Theorem for Planar Graphs}}, booktitle = {25th Annual European Symposium on Algorithms (ESA 2017)}, pages = {8:1--8:13}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-049-1}, ISSN = {1868-8969}, year = {2017}, volume = {87}, editor = {Pruhs, Kirk and Sohler, Christian}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ESA.2017.8}, URN = {urn:nbn:de:0030-drops-78293}, doi = {10.4230/LIPIcs.ESA.2017.8}, annote = {Keywords: Planar graphs, Local search, Hall's theorem, Combinatorial optimization, Expansion} }