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- W4293398532 abstract "We consider simplicial complexes that are generated from the binomial random 3-uniform hypergraph by taking the downward-closure. We determine when this simplicial complex is homologically connected, meaning that its zero-th and first homology groups with coefficients in $mathbb{F}_2$ vanish. Although this is not intrinsically a monotone property, we show that it nevertheless has a single sharp threshold, and indeed prove a hitting time result relating the connectedness to the disappearance of the last minimal obstruction." @default.
- W4293398532 created "2022-08-28" @default.
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- W4293398532 date "2016-04-04" @default.
- W4293398532 modified "2023-09-30" @default.
- W4293398532 title "Homological connectivity of random hypergraphs" @default.
- W4293398532 doi "https://doi.org/10.48550/arxiv.1604.00842" @default.
- W4293398532 hasPublicationYear "2016" @default.
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