--- res: bibo_abstract: - Using inclusion-exclusion, we can write the indicator function of a union of finitely many balls as an alternating sum of indicator functions of common intersections of balls. We exhibit abstract simplicial complexes that correspond to minimal inclusion-exclusion formulas. They include the dual complex, as defined in [3], and are characterized by the independence of their simplices and by geometric realizations with the same underlying space as the dual complex.@eng bibo_authorlist: - foaf_Person: foaf_givenName: Dominique foaf_name: Attali, Dominique foaf_surname: Attali - foaf_Person: foaf_givenName: Herbert foaf_name: Herbert Edelsbrunner foaf_surname: Edelsbrunner foaf_workInfoHomepage: http://www.librecat.org/personId=3FB178DA-F248-11E8-B48F-1D18A9856A87 orcid: 0000-0002-9823-6833 bibo_doi: 10.1007/s00454-006-1274-7 bibo_issue: '1' bibo_volume: 37 dct_date: 2007^xs_gYear dct_publisher: Springer@ dct_title: Inclusion-exclusion formulas from independent complexes@ ...