%0 Journal Article %T On a sparse random graph with minimum degree {three}: Likely Posa's sets are large %A Alan Frieze %A Boris Pittel %J Mathematics %D 2011 %I arXiv %X We consider the likely size of the endpoint sets produced by Posa rotations, when applied to a longest path in a random graph with $cn,\,c\geq 2.7$ edges that is conditioned to have minimum degree at least three. %U http://arxiv.org/abs/1107.4944v1