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  1. Sep 6, 2022 · Page Rank Algorithm and Implementation. PageRank (PR) is an algorithm used by Google Search to rank websites in their search engine results. PageRank was named after Larry Page, one of the founders of Google. PageRank is a way of measuring the importance of website pages. According to Google:

    • Overview
    • The code
    • Acknowledgements

    aka this was interesting.

    C implementation of the PageRank algorithm, with and without parallelization. Used as a group project for the High Performance Computing course held at Ca' Foscari University of Venice, master's degree in Computer science. The algorithm is implemented sequentially and then parallelized using the openMP library.

    Several files are included:

    •step1.c, sequential implementation of PageRank. Uses a transposed adjacency matrix;

    •step2.c, sequential implementation of PageRank. Uses compressed sparse row organization of the adjacency matrix;

    •step3.c, parallel implementation of PageRank. Customize scheduling type (static, dynamic) and number of threads;

    •step2mmap.c, same as step2.c but using mmap;

    •step3mmap.c, same as step3.c but using mmap.

    This project was done with with Gaia O. and Gianluca C..

  2. the QD-PageRankQ vector is equivalent to the primary eigenvector of a matrix ∑ ∈ = q Q ZQ P(q)Zq (corresponding to the combination performed by equation 5). In fact, this is not the case. Instead, the primary eigenvector of ZQ corresponds to the QD-PageRank obtained by a random surfer who, at each step, selects a new query

    • Matthew Richardson, Pedro Domingos
    • 2001
  3. Oct 18, 2012 · 26. The formal defintion of PageRank, as defined at page 4 of the cited document, is expressed in the mathematical equation with the funny "E" symbol (it is in fact the capital Sigma Greek letter. Sigma is the letter "S" which here stands for Summation). In a nutshell this formula says that to calculate the PageRank of page X...

  4. Jan 17, 2023 · The page rank algorithm is applicable to web pages. The page rank algorithm is used by Google Search to rank many websites in their search engine results. The page rank algorithm was named after Larry Page, one of the founders of Google. We can say that the page rank algorithm is a way of measuring the importance of website pages.

  5. Nov 12, 2023 · (1-c)/n and an all-1 vector: here, 1-c is the fly-out probability. n represents the number of nodes, and the all-1 vector is simply a vector with all values set to the same value.

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  7. Mar 24, 2023 · The PageRank algorithm, introduced by Larry Page and Sergey Brin in 1996, has profoundly impacted how search engines function. Its core principle is assessing the importance of web pages based on the number and quality of incoming links. This algorithm has been a cornerstone of Google’s search engine since its inception and continues to ...

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