Inclusion-Exclusion Formulas from Independent Complexes
- First Online:
- 63 Downloads
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 , and are characterized by the independence of their simplices and by geometric realizations with the same underlying space as the dual complex.
Unable to display preview. Download preview PDF.