@article{3977, 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.}, author = {Attali, Dominique and Herbert Edelsbrunner}, journal = {Discrete & Computational Geometry}, number = {1}, pages = {59 -- 77}, publisher = {Springer}, title = {{Inclusion-exclusion formulas from independent complexes}}, doi = {10.1007/s00454-006-1274-7}, volume = {37}, year = {2007}, }