WIP and fix
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2 changed files with 43 additions and 3 deletions
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@ -148,12 +148,13 @@ public class Graph<T> {
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while (nextVisitNodes.size() > 0) {
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allVisitedNodes.add(nextVisitNodes.get(0));
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nextVisitNodes.addAll(getEdges(nextVisitNodes.get(0)).stream()
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.map(x -> x.getNodeB())
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.filter(x -> !allVisitedNodes.contains(x))
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.collect(Collectors.toList()));
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allVisitedNodes.add(nextVisitNodes.get(0));
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nextVisitNodes.remove(0);
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}
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@ -23,7 +23,30 @@
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Der Algorithmus für die Bildung der Kanten ist folgender:
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tbc
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\begin{algorithm}
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\caption{Bildung von Kanten}\label{euclid}
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\begin{algorithmic}[1]
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\Procedure{generateEdges}{}
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\State $\textit{firstNode} \gets \text{first element of }\textit{nodes}$
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\State $allVisitedNodes \gets \textit{empty}$
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\State $nextVisitNodes \gets empty$
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\State $\text{append } firstNode \text{ to } allVisitedNodes$
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\State $\text{neighborsOf } firstNode$
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\State $\rightarrow \text{filter out all } x \text{ where } allVisitedNodes \text{ contains } x$
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\State $\rightarrow \text{append to } nextVisitNodes$
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\BState \emph{loop}
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\If {$nextVisitNodes \text{ is empty}$}
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break
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\EndIf
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\State $\text{neighborsOf first element of } nextVisitNodes$
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\State $\rightarrow \text{filter out all } x \text{ where } allVisitedNodes \text{ contains } x$
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\State $\rightarrow \text{append to } nextVisitNodes$
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\State $\text{append first element of } nextVisitNodes \text{ to } allVisitedNodes$
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\State $\text{delete first element of } nextVisitNodes$
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\BState \emph{end loop}
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\EndProcedure
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\end{algorithmic}
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\end{algorithm}
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\subsection{Überprüfung der Erreichbarkeit aller Knoten}
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@ -45,14 +68,30 @@
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\If {$nextVisitNodes \text{ is empty}$}
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break
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\EndIf
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\State $\text{append first element of } nextVisitNodes \text{ to } allVisitedNodes$
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\State $\text{neighborsOf first element of } nextVisitNodes$
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\State $\rightarrow \text{filter out all } x \text{ where } allVisitedNodes \text{ contains } x$
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\State $\rightarrow \text{append to } nextVisitNodes$
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\State $\text{append first element of } nextVisitNodes \text{ to } allVisitedNodes$
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\State $\text{delete first element of } nextVisitNodes$
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\BState \emph{end loop}
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\EndProcedure
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\end{algorithmic}
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\end{algorithm}
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Der Algorithmus sammelt sozusagen alle Knoten, die
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aufgrund von momentanen Erkenntnissen erreichbar
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sind, in der Liste \texttt{nextVisitNodes}. Hingegen sind
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alle Knoten, die schon erreicht worden sind, in der Liste
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\texttt{allVisitedNodes} gespeichert.
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Der Algorithmus geht die Liste \texttt{nextVisitNodes}
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solange durch, bis diese leer ist. In jeder Iteration wird
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das erste Element der Liste aus der Liste entfernt.
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Zunächst wird dieses Element der Liste \texttt{allVisitedNodes}
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hinzugefügt. Daraufhin
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werden die Nachbarn dieses Elements herausgefunden. Diejenigen
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Nachbarn, die schon in der Liste \texttt{allVisitedNodes}
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vorhanden sind, werden verworfen. Die restlichen Nachbarn
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werden der Liste \texttt{nextVisitNodes} hinzugefügt.
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\end{document}
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