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Degree distribution nearby the origin of a preferential attachment graph


 
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1. Title Title of document Degree distribution nearby the origin of a preferential attachment graph
 
2. Creator Author's name, affiliation, country Móri F. Tamás; Department of Probability Theory and Statistics, Eötvös Loránd University
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Scale free graphs; degree distribution; martingale
 
3. Subject Subject classification 60G42; 05C80
 
4. Description Abstract In a 2-parameter scale free model of random graphs it is shown that the asymptotic degree distribution is the same in the neighbourhood of every vertex. This degree distribution is still a power law with characteristic exponent 2, but this exponent is different from the one observed in the whole graph.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) Hungarian Scientific Research Fund (OTKA) Grant K67961
 
7. Date (YYYY-MM-DD) 2007-09-13
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/1299
 
10. Identifier Digital Object Identifier 10.1214/ECP.v12-1299
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 12
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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