Geodesic
On sums over partially ordered sets
The electronic journal of combinatorics, Tome 6 (1999)
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We establish a general theorem for reducing sums of type $\sum_{y\ge x} g(y)$ where $g$ is a mapping from a partially ordered set into an abelian group. Conclusions concern the Möbius function, the principle of inclusion-exclusion, the Tutte polynomial and Crapo's beta invariant.
DOI : 10.37236/1466
Classification : 06A07, 05B35, 05A15, 05A19
Mots-clés : partially ordered set, Möbius function, inclusion-exclusion principle, Tutte polynomial, matroid 
@article{10_37236_1466,
     author = {Klaus Dohmen},
     title = {On sums over partially ordered sets},
     journal = {The electronic journal of combinatorics},
     year = {1999},
     volume = {6},
     doi = {10.37236/1466},
     zbl = {0936.06001},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1466/}
}
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%J The electronic journal of combinatorics
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Klaus Dohmen. On sums over partially ordered sets. The electronic journal of combinatorics, Tome 6 (1999). doi: 10.37236/1466

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