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3.4.2 What are the pages with the largest derivative? For the largest strongly connected component of wiki-2006-11, table 3.3 lists the top 20 pages with largest derivative for a few values of α. Most of the pages that appear in the top 20 list are also highly ranked according to the PageRank value. Additionally, pages in the “category” namespace in Wikipedia are highly ranked by both PageRank and its derivative for the two largest values of α evaluated. Table 3.3 – Pages in Wikipedia with the largest derivative. The columns show the top 20 pages with largest derivative for three values of α computed on the largest strongly connected component in wiki-20061104. The pages are presented in order of the derivative, so “United States” has the largest derivative at α = 0.50 and its rank according to PageRank is 1. Pages in the category namespace are abbreviated “C:” instead of the full “Category:”. The page “Category:Main topic classification” is abbreviated “C:Main topic classif.” Likewise “List of academic disciplines” is abbreviated “List of acad. disciplines.” 3.4 ⋅ experiments 51 = 0.5 Page Rank United States 1 Race (US Census) 6 C:Categories by country 23 United Kingdom 4 2006 3 England 5 Canada 7 2005 8 France 10 C:Society 108 C:People 63 C:Living people 2 Germany 12 Australia 11 2004 9 World War II 18 C:Academic disciplines C:Political geography 188 C:Nature =0.85 Page Rank =0.95 Page Rank Portal:List 2 C:Main topic classif. 3 C:Society 4 Wikipedia 8 C:Fundamental 9 C:Science 21 C:Social sciences 12 C:Geography 10 Portal:Browse 83 C:Portals 79 C:Academic disciplines 36 C:Political geography 5 C:Politics 16 C:Nature 40 List of acad. disciplines 63 Human 25 C:Humans 41 Academia 75 Philosophy 64 Japan 14 Europe 32 C:Categories by country C:Geography by place Portal:List 6 C:Main topic classif. 4 C:Society 3 C:Political geography Wikipedia C:Fundamental C:Geography C:Social sciences C:Politics 10 24 22 25 29 27 49 41 28 36 45 16 98 94 5 38 C:Science C:Human geography C:Countries Human C:Business C:PeoplePDF Image | MODELS AND ALGORITHMS FOR PAGERANK SENSITIVITY
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