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Cover time of a random graph with a degree sequence II: Allowing vertices of degree two

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journal contribution
posted on 01.05.2014 by Colin Cooper, Alan Frieze, Eyal Lubetzky

We study the cover time of a random graph chosen uniformly at random from the set of graphs with vertex set [n] and degree sequence d = (di) n i=1. In a previous work [1], the asymptotic cover time was obtained under a number of assumptions on d, the most significant being that di ≥ 3 for all i. Here we replace this assumption by di ≥ 2. As a corollary, we establish the asymptotic cover time for the 2-core of the emerging giant component of G(n, p).


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