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Random walk attachment graphs


 
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1. Title Title of document Random walk attachment graphs
 
2. Creator Author's name, affiliation, country Chris Cannings; University of Sheffield; United Kingdom
 
2. Creator Author's name, affiliation, country Jonathan H Jordan; University of Sheffield; United Kingdom
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) random graphs; preferential attachment; random walk
 
3. Subject Subject classification 05C82
 
4. Description Abstract We consider the random walk attachment graph introduced by Saramäki and Kaski and proposed as a mechanism to explain how behaviour similar to preferential attachment may appear requiring only local knowledge.  We show that if the length of the random walk is fixed then the resulting graphs can have properties significantly different from those of preferential attachment graphs, and in particular that in the case where the random walks are of length 1 and each new vertex attaches to a single existing vertex the proportion of vertices which have degree 1 tends to 1, in contrast to preferential attachment models.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2013-09-18
 
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/2518
 
10. Identifier Digital Object Identifier 10.1214/ECP.v18-2518
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 18
 
12. Language English=en en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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