{"citation":{"mla":"Attali, Dominique, and Herbert Edelsbrunner. “Inclusion-Exclusion Formulas from Independent Complexes.” <i>Discrete &#38; Computational Geometry</i>, vol. 37, no. 1, Springer, 2007, pp. 59–77, doi:<a href=\"https://doi.org/10.1007/s00454-006-1274-7\">10.1007/s00454-006-1274-7</a>.","ista":"Attali D, Edelsbrunner H. 2007. Inclusion-exclusion formulas from independent complexes. Discrete &#38; Computational Geometry. 37(1), 59–77.","short":"D. Attali, H. Edelsbrunner, Discrete &#38; Computational Geometry 37 (2007) 59–77.","chicago":"Attali, Dominique, and Herbert Edelsbrunner. “Inclusion-Exclusion Formulas from Independent Complexes.” <i>Discrete &#38; Computational Geometry</i>. Springer, 2007. <a href=\"https://doi.org/10.1007/s00454-006-1274-7\">https://doi.org/10.1007/s00454-006-1274-7</a>.","apa":"Attali, D., &#38; Edelsbrunner, H. (2007). Inclusion-exclusion formulas from independent complexes. <i>Discrete &#38; Computational Geometry</i>. Springer. <a href=\"https://doi.org/10.1007/s00454-006-1274-7\">https://doi.org/10.1007/s00454-006-1274-7</a>","ama":"Attali D, Edelsbrunner H. Inclusion-exclusion formulas from independent complexes. <i>Discrete &#38; Computational Geometry</i>. 2007;37(1):59-77. doi:<a href=\"https://doi.org/10.1007/s00454-006-1274-7\">10.1007/s00454-006-1274-7</a>","ieee":"D. Attali and H. Edelsbrunner, “Inclusion-exclusion formulas from independent complexes,” <i>Discrete &#38; Computational Geometry</i>, vol. 37, no. 1. Springer, pp. 59–77, 2007."},"doi":"10.1007/s00454-006-1274-7","intvolume":"        37","extern":1,"type":"journal_article","title":"Inclusion-exclusion formulas from independent complexes","page":"59 - 77","publist_id":"2152","date_created":"2018-12-11T12:06:14Z","date_updated":"2021-01-12T07:53:36Z","day":"01","status":"public","publication":"Discrete & Computational Geometry","_id":"3977","publication_status":"published","date_published":"2007-01-01T00:00:00Z","volume":37,"month":"01","year":"2007","author":[{"last_name":"Attali","first_name":"Dominique","full_name":"Attali, Dominique"},{"last_name":"Edelsbrunner","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9823-6833","full_name":"Herbert Edelsbrunner","first_name":"Herbert"}],"publisher":"Springer","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"}],"quality_controlled":0}