We provide lower bounds on the connectivity of the independence complexes of hypergraphs. Additionally, we compute the homotopy types of the independence complexes of $d$-uniform properly-connected triangulated hypergraphs.
Connectivity of random hypergraphs with a given hyperedge size distribution
The word problem and the Aharoni-Berger-Ziv conjecture on the connectivity of independence complexes
Connectivity of h-complexes
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