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Discrete small world networks


 
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1. Title Title of document Discrete small world networks
 
2. Creator Author's name, affiliation, country Andrew D Barbour; University of Zurich
 
2. Creator Author's name, affiliation, country Gesine D Reinert; University of Oxford
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Small-world networks, shortest path length, branching process
 
3. Subject Subject classification 90B15, 60J85
 
4. Description Abstract Small world models are networks consisting of many local links and fewer long range `shortcuts', used to model networks with a high degree of local clustering but relatively small diameter. Here, we concern ourselves with the distribution of typical inter-point network distances. We establish approximations to the distribution of the graph distance in a discrete ring network with extra random links, and compare the results to those for simpler models, in which the extra links have zero length and the ring is continuous.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) Schweizerischer Nationalfonds, EPSRC
 
7. Date (YYYY-MM-DD) 2006-12-15
 
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/381
 
10. Identifier Digital Object Identifier 10.1214/EJP.v11-381
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 11
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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