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Local Degree Distribution in Scale Free Random Graphs


 
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1. Title Title of document Local Degree Distribution in Scale Free Random Graphs
 
2. Creator Author's name, affiliation, country Agnes Backhausz; Eotvos Lorand University; Hungary
 
2. Creator Author's name, affiliation, country Tamas F. Mori; Eotvos Lorand University; Hungary
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) scale free; random graphs; recursive trees; martingales; regular variation
 
3. Subject Subject classification 60G42; 05C80
 
4. Description Abstract In several scale free graph models the asymptotic degree distribution and the characteristic exponent change when only a smaller set of vertices is considered. Looking at the common properties of these models, we present sufficient conditions for the almost sure existence of an asymptotic degree distribution constrained to the set of selected vertices, and identify the chararteristic exponent belonging to it.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) Hungarian National Foundation for Scientific Research, Grant No. K67961
 
7. Date (YYYY-MM-DD) 2011-08-19
 
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/916
 
10. Identifier Digital Object Identifier 10.1214/EJP.v16-916
 
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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