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column vector of all ones. PR(A) is the PageRank of the page A, the damping factor is d, conventionally defined by Brin and Page (1998) as 0.85, and the number of pages linked is N. 2.2 Application to the Internet The importance of graph theory to the Internet is in how it is modeled. The Internet is made up of many webpages, each containing information on its page. Each page may also contain links to other pages. This can be modeled using graph theory, where each page is a vertex, and the edges between each vertex are equivalent to the links from one page to another. This can be modeled as such: Figure 2.2: Model Internet This model of a simplified set of webpages shows a graph of directed edges, representing pages and the outgoing links between them. This simplified model of the Internet is easily expandable and is useful for describing the methods used in the PageRank algorithm. This model can be represented in matrix form where: 4PDF Image | MATHEMATICS BEHIND GOOGLE PAGERANK ALGORITHM
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