Packing random graphs and hypergraphs (1408.6354v2)

Published 27 Aug 2014 in math.CO

Abstract: We determine to within a constant factor the threshold for the property that two random k-uniform hypergraphs with edge probability p have an edge-disjoint packing into the same vertex set. More generally, we allow the hypergraphs to have different densities. In the graph case, we prove a stronger result, on packing a random graph with a fixed graph.

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