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@@ -26,8 +26,10 @@
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\item A lot of webpages get visited
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\item[$\Rightarrow$] modellize clicks on links as random behaviour
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\item Links are important
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- \item Links of page A get less important, if A has many links
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- \item Links of page A get more important, if many link to A
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+ \begin{itemize}
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+ \item Links of page A get less important, if A has many links
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+ \item Links of page A get more important, if many link to A
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+ \end{itemize}
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\item[$\Rightarrow$] if B has a link from A, the rank of B increases by $\frac{Rank(A)}{Links(A)}$
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\end{itemize}
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@@ -64,18 +66,18 @@
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\item $N$ is the total number of websites
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\end{itemize}
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- \[\displaystyle PR(x) := \alpha \left ( \frac{1}{N} \right ) + (1-\alpha) \sum_{y\in L(x)} \frac{PR(y)}{C_{y}}\]
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+ \[\displaystyle PR(x) := \alpha \left ( \frac{1}{N} \right ) + (1-\alpha) \sum_{y\in L(x)} \frac{PR(y)}{C(y)}\]
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\end{frame}
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\begin{frame}{Pseudocode}
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\begin{algorithmic}
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\alertline<1> \Function{PageRank}{Graph $web$, double $q=0.15$, int $iterations$} %q is a damping factor
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-\alertline<2> \ForAll{$page \in G$}
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-\alertline<3> \State $page.pageRank = \frac{1}{|G|}$ \Comment{intial probability}
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+\alertline<2> \ForAll{$page \in web$}
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+\alertline<3> \State $page.pageRank = \frac{1}{|web|}$ \Comment{intial probability}
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\alertline<2> \EndFor
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\alertline<4> \While{$iterations > 0$}
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-\alertline<5> \ForAll{$page \in G$} \Comment{calculate pageRank of $page$}
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+\alertline<5> \ForAll{$page \in web$} \Comment{calculate pageRank of $page$}
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\alertline<6> \State $page.pageRank = q$
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\alertline<7> \ForAll{$y \in L(page)$}
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\alertline<8> \State $page.pageRank$ += $\frac{y.pageRank}{C(y)}$
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