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\subsection{Aufgabe 3}
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\begin{frame}{Aufgabe 3}
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Zeigen Sie: Wenn der Graph eines Kreises bipartit ist, dann hat der Kreis gerade Länge.
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\end{frame}
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\subsection{Bildquellen}
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\begin{frame}{Bildquellen}
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\begin{itemize}
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\item \href{http://commons.wikimedia.org/wiki/File:Hypercube.svg}{http://commons.wikimedia.org/wiki/File:Hypercube.svg}
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\item \href{http://commons.wikimedia.org/wiki/File:Konigsberg\_bridges.png}{http://commons.wikimedia.org/wiki/File:Konigsberg\_bridges.png}
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\item \href{http://commons.wikimedia.org/wiki/File:Unit\_disk\_graph.svg}{http://commons.wikimedia.org/wiki/File:Unit\_disk\_graph.svg}
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\item \href{http://goo.gl/maps/WnXRh}{Google Maps} (Grafiken \TCop 2013 Cnes/Spot Image, DigitalGlobe)
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\item \href{http://cf.drafthouse.com/\_uploads/galleries/29140/good_will\_hunting\_3.jpg}{cf.drafthouse.com/\_uploads/galleries/29140/good\_will\_hunting\_3.jpg}
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\item -
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\end{itemize}
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\end{frame}
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\subsection{Literatur}
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\begin{frame}{Literatur}
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\begin{itemize}
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\item A. Beutelspacher: \textit{Diskrete Mathematik für Einsteiger}, 4. Auflage, ISBN 978-3-8348-1248-3
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\item Charu C. Aggarwal, Nan Li: \textit{On Node Classification in Dynamic Content-based Networks}
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\end{itemize}
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\end{frame}
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@ -25,9 +16,9 @@ Zeigen Sie: Wenn der Graph eines Kreises bipartit ist, dann hat der Kreis gerade
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\begin{frame}{Folien, \LaTeX und Material}
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Der Foliensatz und die \LaTeX und Ti\textit{k}Z-Quellen sind unter
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\href{https://github.com/MartinThoma/LaTeX-examples/tree/master/presentations/Diskrete-Mathematik}{github.com/MartinThoma/LaTeX-examples/tree/master/presentations/Diskrete-Mathematik}
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\href{https://github.com/MartinThoma/LaTeX-examples/tree/master/presentations/Datamining-Proseminar}{github.com/MartinThoma/LaTeX-examples/tree/master/presentations/Datamining-Proseminar}
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\\
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Kurz-URL:
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\href{http://goo.gl/uTgam}{goo.gl/uTgam}
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\href{http://tinyurl.com/Info-Proseminar}{tinyurl.com/Info-Proseminar}
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\end{frame}
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\subsection{Grundlagen}
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\begin{frame}{Graph}
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\begin{block}{Graph}
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Ein Graph ist ein Tupel $(E, K)$, wobei $E \neq \emptyset$ die Eckenmenge und
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$K \subseteq E \times E$ die
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Kantenmenge bezeichnet.
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\end{block}
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\end{frame}
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\subsection{Situation}
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\framedgraphic{Social Network}{../images/unlabeled-network}
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\framedgraphic{Partially labeled network}{../images/partially-labeled-network}
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