@InProceedings{carriere_et_al:LIPIcs.SoCG.2016.25, author = {Carri\`{e}re, Mathieu and Oudot, Steve}, title = {{Structure and Stability of the 1-Dimensional Mapper}}, booktitle = {32nd International Symposium on Computational Geometry (SoCG 2016)}, pages = {25:1--25:16}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-009-5}, ISSN = {1868-8969}, year = {2016}, volume = {51}, editor = {Fekete, S\'{a}ndor and Lubiw, Anna}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SoCG.2016.25}, URN = {urn:nbn:de:0030-drops-59175}, doi = {10.4230/LIPIcs.SoCG.2016.25}, annote = {Keywords: Mapper, Reeb Graph, Extended Persistence, Topological Data Analysis} }