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Stationary random graphs on $Z$ with prescribed iid degrees and finite mean connections


 
Dublin Core PKP Metadata Items Metadata for this Document
 
1. Title Title of document Stationary random graphs on $Z$ with prescribed iid degrees and finite mean connections
 
2. Creator Author's name, affiliation, country Maria Deijfen; Stockholm University
 
2. Creator Author's name, affiliation, country Johan Jonasson; Chalmers University
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Random graphs; degree distribution; stationary model
 
3. Subject Subject classification 05C80; 60G50
 
4. Description Abstract Let $F$ be a probability distribution with support on the non-negative integers. A model is proposed for generating stationary simple graphs on $Z$ with degree distribution $F$ and it is shown for this model that the expected total length of all edges at a given vertex is finite if $F$ has finite second moment. It is not hard to see that any stationary model for generating simple graphs on $Z$ will give infinite mean for the total edge length per vertex if $F$ does not have finite second moment. Hence, finite second moment of $F$ is a necessary and sufficient condition for the existence of a model with finite mean total edge length.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2006-12-05
 
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/1239
 
10. Identifier Digital Object Identifier 10.1214/ECP.v11-1239
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 11
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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