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The distribution of pageRank follows a power-law only for particular values of the damping factor
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Source International World Wide Web Conference archive
Proceedings of the 15th international conference on World Wide Web table of contents
Edinburgh, Scotland
POSTER SESSION: Browsers and UI, web engineering, hypermedia & multimedia, security, and accessibility table of contents
Pages: 941 - 942  
Year of Publication: 2006
ISBN:1-59593-323-9
Authors
Luca Becchetti  Università di Roma "La Sapienza", Rome, Italy
Carlos Castillo  Università di Roma "La Sapienza", Rome, Italy
Sponsors
SIGWEB: ACM Special Interest Group on Hypertext, Hypermedia, and Web
ACM: Association for Computing Machinery
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 5,   Downloads (12 Months): 45,   Citation Count: 3
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ABSTRACT

We show that the empirical distribution of the PageRank values in a large set of Web pages does not follow a power-law except for some particular choices of the damping factor. We argue that for a graph with an in-degree distribution following a power-law with exponent between 2.1 and 2.2, choosing a damping factor around 0.85 for PageRank yields a power-law distribution of its values. We suggest that power-law distributions of PageRank in Web graphs have been observed because the typical damping factor used in practice is between 0.85 and 0.90.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
E. Efthimiadis and C. Castillo. Charting the Greek Web. In Proc. of ASIST, Providence, Rhode Island, USA, Nov. 2004.
 
2
B. M. Hill. A simple general approach to inference about the tail of a distribution. The Annals of Statistics, 3:1163--1174, 1975.
 
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M. E. J. Newman. Power laws, pareto distributions and zipf's law. Contemporary Physics, 46:323--351, December 2005.
 
5
L. Page, S. Brin, R. Motwani, and T. Winograd. The PageRank citation ranking: bringing order to the Web. Technical report, Stanford Digital Library Technologies Project, 1998.
 
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Collaborative Colleagues:
Luca Becchetti: colleagues
Carlos Castillo: colleagues