{"date_created":"2018-12-11T12:06:14Z","citation":{"ieee":"D. Attali and H. Edelsbrunner, “Inclusion-exclusion formulas from independent complexes,” Discrete & Computational Geometry, vol. 37, no. 1. Springer, pp. 59–77, 2007.","ama":"Attali D, Edelsbrunner H. Inclusion-exclusion formulas from independent complexes. Discrete & Computational Geometry. 2007;37(1):59-77. doi:10.1007/s00454-006-1274-7","ista":"Attali D, Edelsbrunner H. 2007. Inclusion-exclusion formulas from independent complexes. Discrete & Computational Geometry. 37(1), 59–77.","short":"D. Attali, H. Edelsbrunner, Discrete & Computational Geometry 37 (2007) 59–77.","chicago":"Attali, Dominique, and Herbert Edelsbrunner. “Inclusion-Exclusion Formulas from Independent Complexes.” Discrete & Computational Geometry. Springer, 2007. https://doi.org/10.1007/s00454-006-1274-7.","apa":"Attali, D., & Edelsbrunner, H. (2007). Inclusion-exclusion formulas from independent complexes. Discrete & Computational Geometry. Springer. https://doi.org/10.1007/s00454-006-1274-7","mla":"Attali, Dominique, and Herbert Edelsbrunner. “Inclusion-Exclusion Formulas from Independent Complexes.” Discrete & Computational Geometry, vol. 37, no. 1, Springer, 2007, pp. 59–77, doi:10.1007/s00454-006-1274-7."},"intvolume":" 37","quality_controlled":0,"title":"Inclusion-exclusion formulas from independent complexes","date_updated":"2021-01-12T07:53:36Z","date_published":"2007-01-01T00:00:00Z","status":"public","extern":1,"day":"01","volume":37,"publication_status":"published","_id":"3977","publication":"Discrete & Computational Geometry","year":"2007","author":[{"last_name":"Attali","first_name":"Dominique","full_name":"Attali, Dominique"},{"orcid":"0000-0002-9823-6833","full_name":"Herbert Edelsbrunner","last_name":"Edelsbrunner","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","first_name":"Herbert"}],"doi":"10.1007/s00454-006-1274-7","issue":"1","abstract":[{"text":"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.","lang":"eng"}],"page":"59 - 77","publisher":"Springer","month":"01","type":"journal_article","publist_id":"2152"}