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A Note on the Probability of Cutting a Galton-Watson Tree


 
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1. Title Title of document A Note on the Probability of Cutting a Galton-Watson Tree
 
2. Creator Author's name, affiliation, country Luc Devroye; McGill University; Canada
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Galton-Watson tree; probabilistic analysis of algorithms, branching process
 
3. Subject Subject classification 60J80, 60J85,60G99
 
4. Description Abstract The structure of Galton-Watson trees conditioned to be of a given size is well-understood. We provide yet another embedding theorem that permits us to obtain asymptotic probabilities of events that are determined by what happens near the root of these trees. As an example, we derive the probability that a Galton-Watson tree is cut when each node is independently removed with probability p, where by cutting a tree we mean that every path from root to leaf must have at least one removed node.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) NSERC, FQRNT
 
7. Date (YYYY-MM-DD) 2011-10-24
 
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/952
 
10. Identifier Digital Object Identifier 10.1214/EJP.v16-952
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 16
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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