We study the cover time of a random walk on graphs G epsilon G(n,p), when p = c log n /n, c > 1. We prove that whp, the cover time, is asymptotic to c log (c/c-1) n log n. (c) 2006 Wiley Periodicals, Inc.
机构:
Dept Pure Math & Math Stat, Cambridge CB3 0WB, England
Univ Memphis, Dept Math Sci, Memphis, TN 38152 USAUniv Oxford, Math Inst, Oxford OX1 3LB, England