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MAS 801 It's a Discreetly Discrete World – Mathematics in ... - Spms

MAS 801 It's a Discreetly Discrete World – Mathematics in ... - Spms

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PageRank: An Improvement<br />

• The previous def<strong>in</strong>ition of “importance” of a web page still suffers from<br />

a problem<br />

• Can you see what it is<br />

• Many fictitious web pages can be created to l<strong>in</strong>k to a web page i if<br />

we want to make web page i important (l<strong>in</strong>k spamm<strong>in</strong>g)<br />

• Suggests that a l<strong>in</strong>k from i to j should also be weighted by the<br />

importance of the web page i<br />

• Previously the weight of a l<strong>in</strong>k from i to j is given by<br />

1/di (di is the outdegree of node i)<br />

• We now modify this so that the weight of a l<strong>in</strong>k from i to j is give by<br />

xi/di (di is the outdegree of node i)<br />

• where xi is the importance of node i

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