Abstract
Sieve methods are used in essentially two variants. In order to determine the size of a set we overcount the set, subtract from this count, add again, subtract again, until finally the exact number of elements is determined. The classical example is the principle of inclusion-exclusion. In the second variant we sieve out the unwanted elements through a suitable weighting. This is the fundamental idea behind the involution principle.
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(2007). Sieve Methods. In: A Course in Enumeration. Graduate Texts in Mathematics, vol 238. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39035-0_6
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DOI: https://doi.org/10.1007/978-3-540-39035-0_6
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