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University of Birmingham > Talks@bham > Combinatorics and Probability Seminar > Homological connectivity of random hypergraphs
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If you have a question about this talk, please contact Dr Andrew Treglown. We consider 2-dimensional 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. This talk is part of the Combinatorics and Probability Seminar series. This talk is included in these lists:Note that ex-directory lists are not shown. |
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