{
    "content": "<h1><a href=\"..\/PAGERANK\/\">PAGERANK<\/a><\/h1><p><a href=\"..\/PAGERANK\/\">PAGERANK<\/a> is a sophisticated <a href=\"..\/ALGORITHM\/\">ALGORITHM<\/a> originally developed by <a href=\"..\/LARRY-PAGE\/\">LARRY-PAGE<\/a> and <a href=\"..\/SERGEY-BRIN\/\">SERGEY-BRIN<\/a> at <a href=\"..\/STANFORD-UNIVERSITY\/\">STANFORD-UNIVERSITY<\/a>. It serves as the foundational method for ranking web pages in <a href=\"..\/GOOGLE-SEARCH\/\">GOOGLE-SEARCH<\/a> results. The system assigns a numerical weighting to each element of a hyperlinked set of documents, such as the <a href=\"..\/WORLD-WIDE-WEB\/\">WORLD-WIDE-WEB<\/a>, with the purpose of measuring its relative importance within the set.<\/p><p>The mathematical core of <a href=\"..\/PAGERANK\/\">PAGERANK<\/a> relies on <a href=\"..\/GRAPH-THEORY\/\">GRAPH-THEORY<\/a> and <a href=\"..\/LINEAR-ALGEBRA\/\">LINEAR-ALGEBRA<\/a>. It treats the internet as a massive directed graph where pages are nodes and hyperlinks are edges. The algorithm effectively calculates the <a href=\"..\/EIGENVECTOR-CENTRALITY\/\">EIGENVECTOR-CENTRALITY<\/a> of the web graph to determine the likelihood that a person randomly clicking on links will arrive at any particular page, a concept known as the <a href=\"..\/RANDOM-SURFER-MODEL\/\">RANDOM-SURFER-MODEL<\/a>. To handle issues like rank sinks and cycles, the developers introduced a <a href=\"..\/DAMPING-FACTOR\/\">DAMPING-FACTOR<\/a>, typically estimated at 0.85.<\/p><p>While <a href=\"..\/GOOGLE\/\">GOOGLE<\/a> has evolved to incorporate hundreds of different ranking signals for <a href=\"..\/SEARCH-ENGINE-OPTIMIZATION\/\">SEARCH-ENGINE-OPTIMIZATION<\/a>, <a href=\"..\/PAGERANK\/\">PAGERANK<\/a> remains a key historical component of <a href=\"..\/INFORMATION-RETRIEVAL\/\">INFORMATION-RETRIEVAL<\/a> science. For a deeper technical dive into the original implementation, see the seminal paper: <a href=\"http:\/\/infolab.stanford.edu\/~backrub\/google.html\">The Anatomy of a Large-Scale Hypertextual Web Search Engine<\/a>.<\/p><ul><li><a href=\"..\/SEARCH-ENGINE-OPTIMIZATION\/\">SEARCH-ENGINE-OPTIMIZATION<\/a><\/li><li><a href=\"..\/LINK-ANALYSIS\/\">LINK-ANALYSIS<\/a><\/li><li><a href=\"..\/MARKOV-CHAIN\/\">MARKOV-CHAIN<\/a><\/li><li><a href=\"..\/INTERNET-HISTORY\/\">INTERNET-HISTORY<\/a><\/li><\/ul>",
    "tags": [
        "pagerank",
        "google",
        "algorithm",
        "seo",
        "graph theory",
        "link analysis",
        "search engine",
        "larry page",
        "sergey brin",
        "mathematics"
    ]
}