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Large deviations in randomly coloured random graphs


 
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1. Title Title of document Large deviations in randomly coloured random graphs
 
2. Creator Author's name, affiliation, country J. D. Biggins; The University of Sheffield, UK
 
2. Creator Author's name, affiliation, country D.B. Penman; University of Essex, UK
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) large deviations, mixture, rate function, random graphs
 
3. Subject Subject classification 05C80; 60F10
 
4. Description Abstract Models of random graphs are considered where the presence or absence of an edge depends on the random types (colours) of its vertices, so that whether or not edges are present can be dependent. The principal objective is to study large deviations in the number of edges. These graphs provide a natural example with two different non-degenerate large deviation regimes, one arising from large deviations in the colourings followed by typical edge placement and the other from large deviation in edge placement. A secondary objective is to illustrate the use of a general result on large deviations for mixtures.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2009-07-10
 
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/1478
 
10. Identifier Digital Object Identifier 10.1214/ECP.v14-1478
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 14
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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