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Detecting tampering in a random hypercube


 
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1. Title Title of document Detecting tampering in a random hypercube
 
2. Creator Author's name, affiliation, country Ross G Pinsky; Technion; Israel
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) random graph, random hypercube, total variation norm, detection
 
3. Subject Subject classification 05C80, 60C05
 
4. Description 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 $n\to\infty$.
 
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7. Date (YYYY-MM-DD) 2013-02-18
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/2290
 
10. Identifier Digital Object Identifier 10.1214/EJP.v18-2290
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 18
 
12. Language English=en en
 
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