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Random Walks with Look-Ahead in Scale-Free Random Graphs

Published: 01 September 2010 Publication History

Abstract

If $m\geq2$ is constant and $0\leq r\leq\varepsilon\log\log n$ for a small positive constant $\varepsilon$, then whp a random walk with look-ahead $r$ on a scale-free graph $G=G_{(m,n)}$ has cover time $C_G(r)\sim(2/(m^{r-1}(m-1)))\;n\log n$.

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  1. Random Walks with Look-Ahead in Scale-Free Random Graphs

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    Published In

    cover image SIAM Journal on Discrete Mathematics
    SIAM Journal on Discrete Mathematics  Volume 24, Issue 3
    August 2010
    505 pages

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    Society for Industrial and Applied Mathematics

    United States

    Publication History

    Published: 01 September 2010

    Author Tags

    1. look-ahead
    2. random walks
    3. scale-free random graphs

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