[{"quality_controlled":0,"page":"59 - 77","publication":"Discrete & Computational Geometry","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.","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","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.","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.","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."},"date_published":"2007-01-01T00:00:00Z","dc":{"description":["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."],"identifier":["https://research-explorer.ista.ac.at/record/3977"],"type":["info:eu-repo/semantics/article","doc-type:article","text","http://purl.org/coar/resource_type/c_6501"],"creator":["Attali, Dominique","Herbert Edelsbrunner"],"title":["Inclusion-exclusion formulas from independent complexes"],"publisher":["Springer"],"relation":["info:eu-repo/semantics/altIdentifier/doi/10.1007/s00454-006-1274-7"],"rights":["info:eu-repo/semantics/closedAccess"],"source":["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"],"date":["2007"]},"day":"01","month":"01","uri_base":"https://research-explorer.ista.ac.at","status":"public","publication_status":"published","intvolume":" 37","_id":"3977","date_updated":"2021-01-12T07:53:36Z","dini_type":"doc-type:article","date_created":"2018-12-11T12:06:14Z","volume":37,"author":[{"first_name":"Dominique","last_name":"Attali"},{"id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9823-6833","first_name":"Herbert","last_name":"Edelsbrunner"}],"type":"journal_article","extern":1,"abstract":[{"lang":"eng"}],"publist_id":"2152","issue":"1"}]