Optimal packings of Hamilton cycles in sparse random graphs

Published 25 Sep 2011 in math.CO | (1109.5341v1)

Abstract: We prove that there exists a positive constant \epsilon such that if \log n / n \le p \le n^{{-1+\epsilon},} then asymptotically almost surely the random graph G ~ G(n,p) contains a collection of \lfloor \delta(G)/2 \rfloor edge-disjoint Hamilton cycles.

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