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The Inclusion-Exclusion Principle

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Lessons in Enumerative Combinatorics

Part of the book series: Graduate Texts in Mathematics ((GTM,volume 290))

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Abstract

Our goal here is to present a basic tool which can be used in a variety of enumeration problems. The need for such a tool is best illustrated by an example.

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References

  1. Euler, L.: Remarques sur un beau rapport entre les series des puissances tant directes que reciproques. Memoires de l’academie des sciences de Berlin 17, 83–106 (1768). Opera Omnia: Series 1 15, 70–90

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  2. Goldman, J.R., Joichi, J.T., White, D.E.: Rook theory: I. Rook equivalence of Ferrers boards. Proc. Am. Math. Soc. 52, 485–492 (1975)

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  3. Touchard, J.: Sur un problème de permutations. C. R. Acad. Sci. Paris 198, 631–633 (1934)

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Eğecioğlu, Ö., Garsia, A.M. (2021). The Inclusion-Exclusion Principle. In: Lessons in Enumerative Combinatorics. Graduate Texts in Mathematics, vol 290. Springer, Cham. https://doi.org/10.1007/978-3-030-71250-1_7

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