Abstract
We show that provided log50n/ni¾?pi¾?1-n-1/4log9n we can with high probability find a collection of i¾?i¾?G/2i¾? edge-disjoint Hamilton cycles in G~Gn,p, plus an additional edge-disjoint matching of size i¾?n/2i¾? if i¾?G is odd. This is clearly optimal and confirms, for the above range of p, a conjecture of Frieze and Krivelevich. © 2013 Wiley Periodicals, Inc. Random Struct. Alg., 46, 397-445, 2015
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