@InProceedings{cardona_et_al:LIPIcs.SoCG.2022.24, author = {Cardona, Robert and Curry, Justin and Lam, Tung and Lesnick, Michael}, title = {{The Universal 𝓁^p-Metric on Merge Trees}}, booktitle = {38th International Symposium on Computational Geometry (SoCG 2022)}, pages = {24:1--24:20}, 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.2022.24}, URN = {urn:nbn:de:0030-drops-160325}, doi = {10.4230/LIPIcs.SoCG.2022.24}, annote = {Keywords: merge trees, hierarchical clustering, persistent homology, Wasserstein distances, interleavings} }