Geodesic
Collapsibility of simplicial complexes of hypergraphs
Alan Lew1
1Technion
The electronic journal of combinatorics, Tome 26 (2019) no. 4

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Zbl arXiv
Let $\mathcal{H}$ be an $r$-uniform hypergraph. We show that the simplicial complex whose simplices are the hypergraphs $\mathcal{F}\subset\mathcal{H}$ with covering number at most $p$ is $\left(\binom{r+p}{r}-1\right)$-collapsible. Similarly, the simplicial complex whose simplices are the pairwise intersecting hypergraphs $\mathcal{F}\subset\mathcal{H}$ is $\frac{1}{2}\binom{2r}{r}$-collapsible.
DOI : 10.37236/8364
Classification : 05E45, 05D05, 05C65
Mots-clés : \(r\)-uniform hypergraph

Alan Lew  1

1 Technion 
Alan Lew. Collapsibility of simplicial complexes of hypergraphs. The electronic journal of combinatorics, Tome 26 (2019) no. 4. doi: 10.37236/8364
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     author = {Alan Lew},
     title = {Collapsibility of simplicial complexes of hypergraphs},
     journal = {The electronic journal of combinatorics},
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     number = {4},
     doi = {10.37236/8364},
     zbl = {1422.05109},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/8364/}
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