A note on spanning $K_r$-cycles in random graphs

Alan Frieze

Published 2019-05-12Version 1

We find a close approximation to the threshold for the existence of a collection of edge disjoint copies of $K_r$ that form a cyclic structure and span all vertices of $G_{n,p}$. We use a recent result of Riordan to give a two line proof of the main re sult.