Geodesic
Improved inclusion-exclusion identities via closure operators
Discrete mathematics & theoretical computer science, Tome 4 (2000-2001) no. 1.

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Let (A_v)_v ∈ V be a finite family of sets. We establish an improved inclusion-exclusion identity for each closure operator on the power set of V having the unique base property. The result generalizes three improvements of the inclusion-exclusion principle as well as Whitney's broken circuit theorem on the chromatic polynomial of a graph. 
@article{DMTCS_2000_4_1_a3,
     author = {Dohmen, Klaus},
     title = {Improved inclusion-exclusion identities via closure operators},
     journal = {Discrete mathematics & theoretical computer science},
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     number = {1},
     year = {2000-2001},
     doi = {10.46298/dmtcs.275},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.275/}
}
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Dohmen, Klaus. Improved inclusion-exclusion identities via closure operators. Discrete mathematics & theoretical computer science, Tome 4 (2000-2001) no. 1. doi : 10.46298/dmtcs.275. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.275/

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