On Rectangle-Decomposable 2-Parameter Persistence Modules

Autor: Botnan, Magnus Bakke, Lebovici, Vadim, Oudot, Steve, Cabello, Sergio, Chen, Danny Z.

Publikováno v: Discrete and Computational Geometry, 68(4), 1078-1101. Springer New York
Leibniz International Proceedings in Informatics
SoCG 2020-36th International Symposium on Computational Geometry
SoCG 2020-36th International Symposium on Computational Geometry, Sergio Cabello; Danny Z. Chen, Jun 2020, Zurich, Switzerland. pp.22:1-22:16, ⟨10.4230/LIPIcs.SoCG.2020.22⟩
Botnan, M B, Lebovici, V & Oudot, S 2022, ' On Rectangle-Decomposable 2-Parameter Persistence Modules ', Discrete and Computational Geometry, vol. 68, no. 4, pp. 1078-1101 . https://doi.org/10.1007/s00454-022-00383-y
Discrete and Computational Geometry
Discrete and Computational Geometry, 2022, 68 (4), pp.1078-1101. ⟨10.1007/s00454-022-00383-y⟩
36th International Symposium on Computational Geometry, SoCG 2020: [Proceedings], 1-16
STARTPAGE=1;ENDPAGE=16;TITLE=36th International Symposium on Computational Geometry, SoCG 2020
Botnan, M B, Lebovici, V & Oudot, S 2020, On rectangle-decomposable 2-parameter persistence modules . in S Cabello & D Z Chen (eds), 36th International Symposium on Computational Geometry, SoCG 2020 : [Proceedings] . Leibniz International Proceedings in Informatics, LIPIcs, vol. 164, Schloss Dagstuhl-Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, pp. 1-16, 36th International Symposium on Computational Geometry, SoCG 2020, Zurich, Switzerland, 23/06/20 . https://doi.org/10.4230/LIPIcs.SoCG.2020.22

This paper addresses two questions: (a) can we identify a sensible class of 2-parameter persistence modules on which the rank invariant is complete? (b) can we determine efficiently whether a given 2-parameter persistence module belongs to this class

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3f757e40219e1828522c242976c9be9f
https://hdl.handle.net/1871.1/9a51e366-1376-46b6-819d-70c08ad5fb88