thing

diff --git a/thesis2/3.methods.tex b/thesis2/3.methods.tex
index 8670cd0..fc5bd6d 100644 (file)
--- a/thesis2/3.methods.tex
+++ b/thesis2/3.methods.tex
@@ -42,9 +42,22 @@ then added as a word. The nodelists are then sent to the actual algorithm to be
 converted to a graph representation.
 
 \section{Minimizing DAWGs}
-The first algorithm to generate DAG's was proposed by Hopcroft et
-al\cite{Hopcroft1971}. The algorithm they described wasn't incremental and had
-a complexity of $\mathcal{O}(N\log{N})$. \cite{Daciuk2000} et al. later
+As a representation of the patterns we use slightly altered DAWGs. Normally
+DAWGs have as edgelabels letters from an alphabet, in our case the DAWGs
+alphabet contains all letters, whitespace and punctuation but also the
+specified user markers. DAWGs are a graph but by using them as an automaton we
+can check if a word is accepted by the automaton, or in other words, if the
+word matches the specified pattern. The first algorithm to generate DAWGs from
+node-lists was proposed by Hopcroft et al\cite{Hopcroft1971}. It is an
+incremental approach in generating the graph. Meaning that entry by entry the
+graph was built. The only constraint that the algorithm has is that the entries
+must be sorted lexicographically. Later on Daciuk et al.\cite{Daciuk2000}
+improved on the original algorithm and their algorithm is the algorithm we used
+to minimize or optimize our DAWGs.
+
+Pseudocode for the algorithm can be found in Listing~\ref{pseudodawg}.
+
+
 extended the algorithm and created an incremental one without increasing the
 computational complexity. The non incremental algorithm from Daciuk et al. is
 used to convert the nodelists to a graph.

diff --git a/thesis2/5.appendices.tex b/thesis2/5.appendices.tex
index 20fc864..dca472e 100644 (file)
--- a/thesis2/5.appendices.tex
+++ b/thesis2/5.appendices.tex
@@ -1,4 +1,12 @@
 \section{Algorithm}
+\begin{listing}
+       \label{pseudodawg}
+       \caption{Graph minimization algorithm}
+       \begin{minted}[mathescape=true,linenos=true]{text}
+               register:=$\emptyset$
+       \end{minted}
+\end{listing}
+
 \section{Schemes}
 \subsection{scheme.xsd}
 \label{scheme.xsd}

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