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  1. Boldi, P.; Santini, M.; Vigna, S.: PageRank as a function of the damping factor (2005) 0.05
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    Abstract
    PageRank is defined as the stationary state of a Markov chain. The chain is obtained by perturbing the transition matrix induced by a web graph with a damping factor alpha that spreads uniformly part of the rank. The choice of alpha is eminently empirical, and in most cases the original suggestion alpha=0.85 by Brin and Page is still used. Recently, however, the behaviour of PageRank with respect to changes in alpha was discovered to be useful in link-spam detection. Moreover, an analytical justification of the value chosen for alpha is still missing. In this paper, we give the first mathematical analysis of PageRank when alpha changes. In particular, we show that, contrarily to popular belief, for real-world graphs values of alpha close to 1 do not give a more meaningful ranking. Then, we give closed-form formulae for PageRank derivatives of any order, and an extension of the Power Method that approximates them with convergence O(t**k*alpha**t) for the k-th derivative. Finally, we show a tight connection between iterated computation and analytical behaviour by proving that the k-th iteration of the Power Method gives exactly the PageRank value obtained using a Maclaurin polynomial of degree k. The latter result paves the way towards the application of analytical methods to the study of PageRank.
    Date
    16. 1.2016 10:22:28
  2. Williamson, N.J.: Knowledge structures and the Internet : progress and prospects (2006) 0.04
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    Date
    27.12.2008 15:56:22
    Source
    Knowledge organization for a global learning society: Proceedings of the 9th International ISKO Conference, 4-7 July 2006, Vienna, Austria. Hrsg.: G. Budin, C. Swertz u. K. Mitgutsch
  3. Mukherjea, S.; Hirata, K.; Hara, Y.: Towards a multimedia World-Wide Web information retrieval engine (1997) 0.04
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    Date
    1. 8.1996 22:08:06
  4. Li, L.; Shang, Y.; Zhang, W.: Improvement of HITS-based algorithms on Web documents 0.03
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    Content
    Vgl.: http%3A%2F%2Fdelab.csd.auth.gr%2F~dimitris%2Fcourses%2Fir_spring06%2Fpage_rank_computing%2Fp527-li.pdf. Vgl. auch: http://www2002.org/CDROM/refereed/643/.
  5. Bharat, K.: SearchPad : explicit capture of search context to support Web search (2000) 0.02
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  6. MacLeod, R.: Promoting a subject gateway : a case study from EEVL (Edinburgh Engineering Virtual Library) (2000) 0.02
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    Date
    22. 6.2002 19:40:22
  7. Vidmar, D.J.: Darwin on the Web : the evolution of search tools (1999) 0.02
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    Source
    Computers in libraries. 19(1999) no.5, S.22-28
  8. Back, J.: ¬An evaluation of relevancy ranking techniques used by Internet search engines (2000) 0.02
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    Date
    25. 8.2005 17:42:22
  9. Dunning, A.: Do we still need search engines? (1999) 0.02
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    Source
    Ariadne. 1999, no.22
  10. Bawden, D.: Google and the universe of knowledge (2008) 0.02
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    Date
    7. 6.2008 16:22:20
  11. Campbell, K.: Understanding and comparing search engines (1996) 0.02
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  12. Birmingham, J.: Internet search engines (1996) 0.02
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    Date
    10.11.1996 16:36:22
  13. Hock, R.E.: How to do field searching in Web search engines : a field trip (1998) 0.02
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    Source
    Online. 22(1998) no.3, S.18-22
  14. Price, A.: Five new Danish subject gateways under development (2000) 0.02
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    Date
    22. 6.2002 19:41:31
  15. Croft, W.B.; Metzler, D.; Strohman, T.: Search engines : information retrieval in practice (2010) 0.01
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    Classification
    TWX (FH K)
    GHBS
    TWX (FH K)
  16. Schneider, K.: Lean, mean searching machines (1995) 0.01
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  17. Conhaim, W.W.: Search tools (1996) 0.01
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    Date
    1. 8.1996 22:39:31
  18. Fong, W.W.: Searching the World Wide Web (1996) 0.01
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    Source
    Journal of library and information science. 22(1996) no.1, S.15-36
  19. Duval, B.K.; Main, L.: Searching on the Net : general overview (1996) 0.01
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    Date
    6. 3.1997 16:22:15
  20. Notess, G.R.: Toward more comprehensive Web searching : single searching versus megasearching (1998) 0.01
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    Source
    Online. 22(1998) no.2, S.73-76

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