---
res:
  bibo_abstract:
  - We characterize critical points of 1-dimensional maps paired in persistent homology
    geometrically and this way get elementary proofs of theorems about the symmetry
    of persistence diagrams and the variation of such maps. In particular, we identify
    branching points and endpoints of networks as the sole source of asymmetry and
    relate the cycle basis in persistent homology with a version of the stable marriage
    problem. Our analysis provides the foundations of fast algorithms for maintaining
    collections of interrelated sorted lists together with their persistence diagrams.
    @eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Ranita
      foaf_name: Biswas, Ranita
      foaf_surname: Biswas
      foaf_workInfoHomepage: http://www.librecat.org/personId=3C2B033E-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0002-5372-7890
  - foaf_Person:
      foaf_givenName: Sebastiano
      foaf_name: Cultrera di Montesano, Sebastiano
      foaf_surname: Cultrera di Montesano
      foaf_workInfoHomepage: http://www.librecat.org/personId=34D2A09C-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0001-6249-0832
  - foaf_Person:
      foaf_givenName: Herbert
      foaf_name: Edelsbrunner, Herbert
      foaf_surname: Edelsbrunner
      foaf_workInfoHomepage: http://www.librecat.org/personId=3FB178DA-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0002-9823-6833
  - foaf_Person:
      foaf_givenName: Morteza
      foaf_name: Saghafian, Morteza
      foaf_surname: Saghafian
  dct_date: 2022^xs_gYear
  dct_language: eng
  dct_publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik@
  dct_title: 'A window to the persistence of 1D maps. I: Geometric characterization
    of critical point pairs@'
...