---
res:
  bibo_abstract:
  - 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.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Rocio
      foaf_name: Gonzalez-Diaz, Rocio
      foaf_surname: Gonzalez-Diaz
  - foaf_Person:
      foaf_givenName: Manuel
      foaf_name: Soriano Trigueros, Manuel
      foaf_surname: Soriano Trigueros
      foaf_workInfoHomepage: http://www.librecat.org/personId=15ebd7cf-15bf-11ee-aebd-bb4bb5121ea8
    orcid: 0000-0003-2449-1433
  - foaf_Person:
      foaf_givenName: Alvaro
      foaf_name: Torras-Casas, Alvaro
      foaf_surname: Torras-Casas
  bibo_doi: 10.1016/j.jsc.2026.102598
  bibo_volume: 138
  dct_date: 2026^xs_gYear
  dct_isPartOf:
  - http://id.crossref.org/issn/0747-7171
  - http://id.crossref.org/issn/1095-855X
  dct_language: eng
  dct_publisher: Elsevier@
  dct_subject:
  - Persistence module
  - Persistence map
  - Persistent homology
  dct_title: Additive partial matchings induced by persistence maps@
...