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2PAGERANK BACKGROUND PageRank literature exploded between 2004 and 2005. William James In the dim background of mind, we know what we ought to be doing, but somehow we cannot start. 3150 3160 2900 2760 294 719 365 421 980 975 1980 1120 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 Year Covering all the literature and background here is impossible. Thus, we focus on the relevant introduction for this thesis. Such a restriction is only partially helpful. PageRank is deceptively complicated and the details matter. It is worth noting that Langville and Meyer [2006a], besides being an excellent reference text for PageRank, has a reasonably comprehensive summary of the literature until 2005. A big issue with the PageRank literature is that many communities write about the problem and its applications. Among them are numerical ana- lysts [Serra-Capizzano, 2005], theoretical computer scientists [Andersen et al., 2006], information retrieval scientists [Gyöngyi et al., 2004], and even biolo- gists [Morrison et al., 2005] and physicists [Shepelyansky and Zhirov, 2009]! Standard introductions to PageRank involve the following idea: important web pages link to other important web pages [Page et al., 1999; Langville and Meyer, 2006a]. Let si be the importance of a page indexed by i. This idea suggests the definition sj si= ∑ . j links to i total links from j Thus page j distributes a fraction of its importance to page i when j links to i. This definition is subsequently adjusted to account for a few difficulties that immediately arise. The prior definition, which is often given as the definition of PageRank, lacks the most distinguishing feature of PageRank: the adjustments themselves. It is the adjustments that define PageRank, and not the flow of importance. Certainly, the flow of importance is an important aspect of PageRank, but not its defining feature. Establishing this defining feature is where we begin. 11 Figure 2.1 – PageRank papers by year. The number of Google Scholar results from the search “pagerank” listed by year. These counts are not accurate publication counts, but should correctly represent the publication trend.PDF Image | ALGORITHMS FOR PAGERANK SENSITIVITY DISSERTATION
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