@InProceedings{mantas_et_al:LIPIcs.SoCG.2022.69, author = {Mantas, Ioannis and Papadopoulou, Evanthia and Suderland, Martin and Yap, Chee}, title = {{Subdivision Methods for Sum-Of-Distances Problems: Fermat-Weber Point, n-Ellipses and the Min-Sum Cluster Voronoi Diagram}}, booktitle = {38th International Symposium on Computational Geometry (SoCG 2022)}, pages = {69:1--69:6}, 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.2022.69}, URN = {urn:nbn:de:0030-drops-160773}, doi = {10.4230/LIPIcs.SoCG.2022.69}, annote = {Keywords: Fermat point, geometric median, Weber point, Fermat distance, sum of distances, n-ellipse, multifocal ellipse, min-sum Voronoi diagram, cluster Voronoi diagram} }