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On randomly generated non-trivially intersecting hypergraphs - MaRDI portal

On randomly generated non-trivially intersecting hypergraphs (Q2380458)

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On randomly generated non-trivially intersecting hypergraphs
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    On randomly generated non-trivially intersecting hypergraphs (English)
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    26 March 2010
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    Summary: We propose two procedures to choose members of \(\binom{[n]}{r}\) sequentially at random to form a non-trivially intersecting hypergraph. In both cases we show what is the limiting probability that if \(r = c_n n^{1/3}\) with \(c_n \rightarrow c\), then the process results in a Hilton-Milner-type hypergraph.
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    intersecting hypergraphs
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    Hilton Milnor type hypergraph
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