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- W2014863821 abstract "Consider the random hypercube $H_2^n(p_n)$ obtained from the hypercube $H_2^n$ by deleting any given edge with probabilty $1 -p_n$, independently of all the other edges. A diameter path in $H_2^n$ is a longest geodesic path in $H_2^n$. Consider the following two ways of tampering with the random graph $H_2^n(p_n)$: (i) choose a diameter path at random and adjoin all of its edges to $H_2^n(p_n)$; (ii) choose a diameter path at random from among those that start at $0=(0,cdots, 0)$, and adjoin all of its edges to $H_2^n(p_n)$. We study the question of whether these tamperings are detectable asymptotically as $ntoinfty$." @default.
- W2014863821 created "2016-06-24" @default.
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- W2014863821 date "2013-01-01" @default.
- W2014863821 modified "2023-10-18" @default.
- W2014863821 title "Detecting tampering in a random hypercube" @default.
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- W2014863821 doi "https://doi.org/10.1214/ejp.v18-2290" @default.
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