[{"date_updated":"2026-07-13T12:00:07Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","das_tickbox":"1","_id":"22291","PlanS_conform":"1","OA_place":"publisher","year":"2026","month":"06","publication_identifier":{"issn":["0747-7171"],"eissn":["1095-855X"]},"type":"journal_article","mathsc":["55N31","16G20"],"citation":{"apa":"Gonzalez-Diaz, R., Soriano Trigueros, M., &#38; Torras-Casas, A. (2026). Additive partial matchings induced by persistence maps. <i>Journal of Symbolic Computation</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jsc.2026.102598\">https://doi.org/10.1016/j.jsc.2026.102598</a>","ista":"Gonzalez-Diaz R, Soriano Trigueros M, Torras-Casas A. 2026. Additive partial matchings induced by persistence maps. Journal of Symbolic Computation. 138, 102598.","ieee":"R. Gonzalez-Diaz, M. Soriano Trigueros, and A. Torras-Casas, “Additive partial matchings induced by persistence maps,” <i>Journal of Symbolic Computation</i>, vol. 138. Elsevier, 2026.","mla":"Gonzalez-Diaz, Rocio, et al. “Additive Partial Matchings Induced by Persistence Maps.” <i>Journal of Symbolic Computation</i>, vol. 138, 102598, Elsevier, 2026, doi:<a href=\"https://doi.org/10.1016/j.jsc.2026.102598\">10.1016/j.jsc.2026.102598</a>.","chicago":"Gonzalez-Diaz, Rocio, Manuel Soriano Trigueros, and Alvaro Torras-Casas. “Additive Partial Matchings Induced by Persistence Maps.” <i>Journal of Symbolic Computation</i>. Elsevier, 2026. <a href=\"https://doi.org/10.1016/j.jsc.2026.102598\">https://doi.org/10.1016/j.jsc.2026.102598</a>.","short":"R. Gonzalez-Diaz, M. Soriano Trigueros, A. Torras-Casas, Journal of Symbolic Computation 138 (2026).","ama":"Gonzalez-Diaz R, Soriano Trigueros M, Torras-Casas A. Additive partial matchings induced by persistence maps. <i>Journal of Symbolic Computation</i>. 2026;138. doi:<a href=\"https://doi.org/10.1016/j.jsc.2026.102598\">10.1016/j.jsc.2026.102598</a>"},"ddc":["500"],"volume":138,"intvolume":"       138","acknowledgement":"This project was partially funded by MCIN/AEI and the NextGenerationEU/PRTR, under project TED2021-129438B-I00. The authors thank IMUS-Maria de Maeztu grant CEX2024-001517-M - Apoyo a Unidades de Excelencia María de Maeztu for supporting this research, funded by MICIU/AEI/ 10.13039/501100011033. The authors would also like to thank Lars M Salbu for fruitful discussions regarding the operators from Definition 4.1 and their relation with the order relations introduced in Definition 3.2.","publication":"Journal of Symbolic Computation","language":[{"iso":"eng"}],"quality_controlled":"1","researchdata_availability":"yes","doi":"10.1016/j.jsc.2026.102598","day":"23","article_number":"102598","date_published":"2026-06-23T00:00:00Z","main_file_link":[{"open_access":"1","url":"https://doi.org/10.1016/j.jsc.2026.102598"}],"status":"public","has_accepted_license":"1","tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"oa":1,"scopus_import":"1","author":[{"last_name":"Gonzalez-Diaz","first_name":"Rocio","full_name":"Gonzalez-Diaz, Rocio"},{"id":"15ebd7cf-15bf-11ee-aebd-bb4bb5121ea8","first_name":"Manuel","last_name":"Soriano Trigueros","orcid":"0000-0003-2449-1433","full_name":"Soriano Trigueros, Manuel"},{"full_name":"Torras-Casas, Alvaro","first_name":"Alvaro","last_name":"Torras-Casas"}],"corr_author":"1","supplementarymaterial":"no","publisher":"Elsevier","department":[{"_id":"HeEd"}],"abstract":[{"lang":"eng","text":"Persistent homology is a fundamental tool in Topological Data Analysis. The associated algebraic structure is the persistence module, a sequence of vector spaces connected by linear maps. Persistence modules admit a complete and fast-to-compute invariant known as the persistence diagram. However, this is no longer the case for maps between persistence modules (i.e. persistence maps). We propose a new invariant for persistence maps, consisting of a partial matching between the persistence diagrams of the domain and codomain modules. We show that this invariant is additive with respect to the direct sum decomposition of persistence maps, is more discriminative than the image module, and is computable in cubic time. Furthermore, we provide an implementation and demonstrate its efficiency by integrating it with edge collapse techniques for flag complexes (e.g., Vietoris–Rips complexes). As a key technical contribution, we describe how to induce a persistence map between two flag complexes that have been independently simplified via edge collapses, even when a direct simplicial map between them is no longer available."}],"external_id":{"arxiv":["2006.11100"]},"article_type":"original","dataavailabilitystatement":"The code used for the computational experiments is available in https://github.com/Cimagroup/IBloFunMatch","keyword":["Persistence module","Persistence map","Persistent homology"],"OA_type":"hybrid","article_processing_charge":"No","title":"Additive partial matchings induced by persistence maps","arxiv":1,"date_created":"2026-07-13T09:43:38Z","oa_version":"Published Version","publication_status":"epub_ahead"}]