diff --git a/src/main/java/org/fujaba/graphengine/PatternEngine.java b/src/main/java/org/fujaba/graphengine/PatternEngine.java
index 110c4e9..6fc56f2 100644
--- a/src/main/java/org/fujaba/graphengine/PatternEngine.java
+++ b/src/main/java/org/fujaba/graphengine/PatternEngine.java
@@ -87,15 +87,16 @@ public static Graph calculateReachabilityGraph(Graph graph, ArrayList<ArrayList<
 		 */
 		
 		// the first rg-node is the base-graph:
-		if (GraphEngine.getMainIsomorphismHandler() instanceof IsomorphismHandlerSorting) {
-			graph = GraphEngine.getMainIsomorphismHandler().normalized(graph);
-		}
 		Graph rg = new Graph().addNode(new Node().setAttribute("graph", graph.toString()));
 		ArrayList<Graph> added = new ArrayList<Graph>(); // a list with graphs that were added
 		ArrayList<Graph> unprocessed = new ArrayList<Graph>(); // a list with currently unprocessed graphs
 		added.add(graph);
 		unprocessed.add(graph);
 		
+		if (GraphEngine.getMainIsomorphismHandler() instanceof IsomorphismHandlerSorting) {
+			return calculateReachabilityGraphWithNormalForm(graph, patterns);
+		}
+		
 		// as long as a single graph wasn't checked for successors, the search continues:
 		while (unprocessed.size() > 0) {
 			// looking for matches:
@@ -108,13 +109,7 @@ public static Graph calculateReachabilityGraph(Graph graph, ArrayList<ArrayList<
 				// construct the graph, that's the result of this match:
 				Graph successor = applyMatch(match);
 				// check if the graph was previously added:
-				int index = -1;
-				if (GraphEngine.getMainIsomorphismHandler() instanceof IsomorphismHandlerSorting) {
-					successor = GraphEngine.getMainIsomorphismHandler().normalized(successor);
-					index = normalizedIndexOf(added, successor);
-				} else {
-					index = indexOf(added, successor);
-				}
+				int index = indexOf(added, successor);
 				if (index != -1) {
 					// yes, the graph already did exist => just build edge to an existing node
 					Node target = findGraphInReachabilityGraph(rg, successor);
@@ -133,6 +128,47 @@ public static Graph calculateReachabilityGraph(Graph graph, ArrayList<ArrayList<
 		// done
 		return rg;
 	}
+	
+	public static Graph calculateReachabilityGraphWithNormalForm(Graph graph, ArrayList<ArrayList<PatternGraph>> patterns) {
+		// the first rg-node is the base-graph:
+		graph = GraphEngine.getMainIsomorphismHandler().normalized(graph);
+		Graph rg = new Graph().addNode(new Node().setAttribute("graph", graph.toString()));
+		ArrayList<Graph> added = new ArrayList<Graph>(); // a list with graphs that were added
+		ArrayList<Graph> unprocessed = new ArrayList<Graph>(); // a list with currently unprocessed graphs
+		added.add(graph);
+		unprocessed.add(graph);
+		// as long as a single graph wasn't checked for successors, the search continues:
+		while (unprocessed.size() > 0) {
+			// looking for matches:
+			ArrayList<Match> matches = calculateReachabilityNodeMatches(unprocessed.get(0), patterns);
+			// look up the rg-node, that represents the unprocessed graph:
+			Node source = findGraphInReachabilityGraph(rg, unprocessed.get(0));
+			unprocessed.remove(0);
+			// now handle matches:
+			for (Match match: matches) {
+				// construct the graph, that's the result of this match:
+				Graph successor = applyMatch(match);
+				// check if the graph was previously added:
+				successor = GraphEngine.getMainIsomorphismHandler().normalized(successor);
+				String serializedGraph = successor.toString();
+				int index = normalizedIndexOf(rg.getNodes(), serializedGraph);
+				if (index != -1) {
+					// yes, the graph already did exist => just build edge to an existing node
+					Node target = rg.getNodes().get(index);
+					source.addEdge(match.getPattern().toString(), target); // new edge
+				} else {
+					// no, the graph didn't exist before => add a new node
+					Node target = new Node().setAttribute("graph", serializedGraph); // new node
+					rg.addNode(target);
+					source.addEdge(match.getPattern().toString(), target); // edge to new node
+					added.add(successor);
+					unprocessed.add(successor);
+				}
+			}
+		}
+		// done
+		return rg;
+	}
 
 	/**
 	 * Function to find a graph as a node inside of a reachability graph.
@@ -193,10 +229,10 @@ private static int indexOf(ArrayList<Graph> graphs, Graph graph) {
 		return -1;
 	}
 	
-	private static int normalizedIndexOf(ArrayList<Graph> graphs, Graph graph) {
-       	for (int i = 0; i < graphs.size(); ++i) {
-			Graph g = graphs.get(i);
-			if (g.toString().equals(graph.toString())) {
+	private static int normalizedIndexOf(ArrayList<Node> nodes, String serializedGraph) {
+       	for (int i = 0; i < nodes.size(); ++i) {
+			Node n = nodes.get(i);
+			if (n.getAttribute("graph").equals(serializedGraph)) {
 				return i;
 			}
 		}
diff --git a/src/main/java/org/fujaba/graphengine/isomorphismtools/IsomorphismHandlerSorting.java b/src/main/java/org/fujaba/graphengine/isomorphismtools/IsomorphismHandlerSorting.java
index 02d618d..0461cf2 100644
--- a/src/main/java/org/fujaba/graphengine/isomorphismtools/IsomorphismHandlerSorting.java
+++ b/src/main/java/org/fujaba/graphengine/isomorphismtools/IsomorphismHandlerSorting.java
@@ -36,14 +36,43 @@ public Graph normalized(Graph graph) {
 			nodeSortTrees.add(new NodeSortTree(graph, node));
 		}
 		ArrayList<NodeSortTree> nodeSortTreesCopy = null;
+//		// sort the list of nodeSortTrees:
+//		while (!nodeSortTrees.equals(nodeSortTreesCopy)) {
+//			nodeSortTreesCopy = (ArrayList<NodeSortTree>)nodeSortTrees.clone();
+//			Collections.sort(nodeSortTrees);
+//			for (NodeSortTree nodeSortTree: nodeSortTrees) {
+//				nodeSortTree.doInnerSort(nodeSortTrees);
+//			}
+//		}
 		// sort the list of nodeSortTrees:
-		while (!nodeSortTrees.equals(nodeSortTreesCopy)) {
-			nodeSortTreesCopy = (ArrayList<NodeSortTree>)nodeSortTrees.clone();
-			Collections.sort(nodeSortTrees);
+		ArrayList<String> nodeSortTreesStrings = new ArrayList<String>();
+		for (NodeSortTree nst: nodeSortTrees) {
+			nodeSortTreesStrings.add(GraphEngine.getGson().toJson(nst));
+		}
+		ArrayList<String> nodeSortTreesCopyStrings = null;
+		while (!nodeSortTreesStrings.equals(nodeSortTreesCopyStrings)) {
+			nodeSortTreesCopyStrings = (ArrayList<String>)nodeSortTreesStrings.clone();
+			HashMap<String, NodeSortTree> mapping = new HashMap<String, NodeSortTree>();
+			for (NodeSortTree nst: nodeSortTrees) {
+				mapping.put(GraphEngine.getGson().toJson(nst), nst);
+			}
+			Collections.sort(nodeSortTreesStrings);
+			nodeSortTreesCopy = new ArrayList<NodeSortTree>();
+			for (String s: nodeSortTreesStrings) {
+				nodeSortTreesCopy.add(mapping.get(s));
+			}
+			nodeSortTrees = nodeSortTreesCopy;
 			for (NodeSortTree nodeSortTree: nodeSortTrees) {
 				nodeSortTree.doInnerSort(nodeSortTrees);
 			}
+			nodeSortTreesStrings = new ArrayList<String>();
+			for (NodeSortTree nst: nodeSortTrees) {
+				nodeSortTreesStrings.add(GraphEngine.getGson().toJson(nst));
+			}
 		}
+//
+//
+//
 		nf.getNodes().clear();
 		for (int i = 0; i < nodeSortTrees.size(); ++i) {
 			Node node = nodeSortTrees.get(i).getRootNode();
diff --git a/src/test/java/org/fujaba/graphengine/unitTests/RoadworkExample.java b/src/test/java/org/fujaba/graphengine/unitTests/RoadworkExample.java
index c10d5e7..cd28447 100644
--- a/src/test/java/org/fujaba/graphengine/unitTests/RoadworkExample.java
+++ b/src/test/java/org/fujaba/graphengine/unitTests/RoadworkExample.java
@@ -379,16 +379,16 @@ private double testRoadworkExample(boolean debug, IsomorphismHandler ih, int fro
     public void testRoadworkExample() {
     	
     	ArrayList<IsomorphismHandler> toTest = new ArrayList<IsomorphismHandler>();
-    	toTest.add(new IsomorphismHandlerParallel());
-    	toTest.add(new IsomorphismHandlerCombinatorial());
     	toTest.add(new IsomorphismHandlerCSPHighHeuristics());
     	toTest.add(new IsomorphismHandlerCSPLowHeuristics());
     	toTest.add(new IsomorphismHandlerDepthFirstBacktracking());
+    	toTest.add(new IsomorphismHandlerCombinatorial());
+    	toTest.add(new IsomorphismHandlerParallel());
     	toTest.add(new IsomorphismHandlerSorting());
 
     	boolean debug = false;
-    	int fromLevel = 1;
-    	int toLevel = 1;
+    	int fromLevel = 2;
+    	int toLevel = 2;
     	boolean drawSigmaJs = false;
     	boolean drawAlchemyJs = false;