Page Rank Algorithm: Universal Ranking Function for Web Pages

Jan 08, 2024

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The Page Rank Algorithm is a universal weighting function that ranks web pages based on transitive merit assignment. It assigns merit to web pages based on the weighted sum of all incoming links, with the weight proportional to the merit of the linking page. The algorithm ensures that search results are returned in order of page rank.

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Page Rank Algorithm: Universal Ranking Function for Web Pages

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Google • 1998 Stanford Project • Rank pages by a universal weighting function for all pages on the web (PageRank), using transitive merit assignment • Return pages containing search terms in order of page rank
Page Rank Algorithm • Assign merit to a page as a weighted sum of all links pointing to the page • Weight a link pointing to a page proportional to the merit of the pointer • Rank(WP) = c 1/N(v) * R(v) S V in PointTo(WP)
Page Rank Algorithm • Assign merit to a page as a weighted sum of all links pointing to the page • Weight a link pointing to a page proportional to the merit of the pointer • Rank(WP) = c 1/N(v) * R(v) S V in PointTo(WP)
Page Rank Algorithm • Problem: cycles may lead to infinite weight in basic algorithm • Add a weighting factor proportional to original rank source. • Rank(WP) = c 1/N(v) * R(v) S V in PointTo(WP)
Page Rank Algorithm