Kernel operators and improved inclusion-exclusion bounds
نویسنده
چکیده
We present a new and elementary proof of some recent improvements of the classical inclusion-exclusion bounds. The key idea is to use an injective mapping, similar to the bijective mapping in Garsia and Milne’s “bijective” proof of the classical inclusion-exclusion principle.
منابع مشابه
Improved inclusion-exclusion identities via closure operators
Improved inclusion-exclusion identities via closure operators Klaus Dohmen Department of Computer Science, Humboldt-University Berlin, Unter den Linden 6, D-10099 Berlin, Germany E-mail: [email protected] received March 24, 1999, revised September 6, 1999, accepted April 15, 2000. Let be a finite family of sets. We establish an improved inclusion-exclusion identity for each closure...
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ورودعنوان ژورنال:
- Australasian J. Combinatorics
دوره 26 شماره
صفحات -
تاریخ انتشار 2002