diff --git a/projects/graph/README.md b/projects/graph/README.md
index e7c8489e7..1a8da8f98 100644
--- a/projects/graph/README.md
+++ b/projects/graph/README.md
@@ -2,7 +2,6 @@
 
 This is a multi-stage project to implement a basic graph class and traversals.
 
-
 ## Part 1: Graph Class
 
 In the file `graph.py`, implement a `Graph` class that supports the API in the example below. In particular, this means there should be a field `vertices` that
@@ -65,9 +64,6 @@ Write a function within your Graph class that takes takes a starting node and a
 
 Write a function within your Graph class that takes takes a starting node and a destination node as an argument, then performs DFS. Your function should return a valid path (not necessarily the shortest) from the start node to the destination node. Note that there are multiple valid paths.
 
-
 ## Part 7: Implement Depth-First Search using Recursion
 
 Write a function within your Graph class that takes takes a starting node and a destination node as an argument, then performs DFS using recursion. Your function should return a valid path (not necessarily the shortest) from the start node to the destination node. Note that there are multiple valid paths.
-
-
diff --git a/projects/graph/graph.py b/projects/graph/graph.py
index 59fecae4b..53dad51f7 100644
--- a/projects/graph/graph.py
+++ b/projects/graph/graph.py
@@ -13,42 +13,82 @@ def add_vertex(self, vertex_id):
         """
         Add a vertex to the graph.
         """
-        pass  # TODO
+        self.vertices[vertex_id] = set()
 
     def add_edge(self, v1, v2):
         """
         Add a directed edge to the graph.
         """
-        pass  # TODO
+        if v1 not in self.vertices or v2 not in self.vertices:
+            print('Error - invalid vertex')
+            return
+        
+        self.vertices[v1].add(v2)
 
     def get_neighbors(self, vertex_id):
         """
         Get all neighbors (edges) of a vertex.
         """
-        pass  # TODO
+        return self.vertices[vertex_id]
 
     def bft(self, starting_vertex):
         """
         Print each vertex in breadth-first order
         beginning from starting_vertex.
         """
-        pass  # TODO
+        queue = Queue()
+        visited = set()
+        
+        queue.enqueue(starting_vertex)
+        
+        while queue.size() > 0:
+            current_vert = queue.dequeue()
+            
+            if current_vert not in visited:
+                visited.add(current_vert)
+                
+                print(current_vert)
+                
+                for vert in self.vertices[current_vert]:
+                    queue.enqueue(vert)
 
     def dft(self, starting_vertex):
         """
         Print each vertex in depth-first order
         beginning from starting_vertex.
         """
-        pass  # TODO
-
-    def dft_recursive(self, starting_vertex):
+        stack = Stack()
+        visited = set()
+        
+        stack.push(starting_vertex)
+        
+        while stack.size() > 0:
+            current_vert = stack.pop()
+            
+            if current_vert not in visited:
+                visited.add(current_vert)
+                
+                print(current_vert)
+                
+                for v in self.vertices[current_vert]:
+                    stack.push(v)
+
+    def dft_recursive(self, starting_vertex, visited=None):
         """
         Print each vertex in depth-first order
         beginning from starting_vertex.
 
         This should be done using recursion.
         """
-        pass  # TODO
+        if visited == None:
+            visited = set()
+            
+        visited.add(starting_vertex)
+        print(starting_vertex)
+        
+        for n in self.get_neighbors(starting_vertex):
+            if n not in visited:
+                self.dft_recursive(n, visited)
 
     def bfs(self, starting_vertex, destination_vertex):
         """
@@ -56,7 +96,26 @@ def bfs(self, starting_vertex, destination_vertex):
         starting_vertex to destination_vertex in
         breath-first order.
         """
-        pass  # TODO
+        queue = Queue()
+        visited = set()
+        
+        queue.enqueue([starting_vertex])
+        
+        while queue.size() > 0:
+            current_path = queue.dequeue()
+            current_vert = current_path[-1]
+            
+            if current_vert == destination_vertex:
+                return current_path
+            
+            if current_vert not in visited:
+                visited.add(current_vert)
+                
+                for vert in self.vertices[current_vert]:
+                    new_path = list(current_path)
+                    new_path.append(vert)
+                    queue.enqueue(new_path)
+        
 
     def dfs(self, starting_vertex, destination_vertex):
         """
@@ -64,9 +123,27 @@ def dfs(self, starting_vertex, destination_vertex):
         starting_vertex to destination_vertex in
         depth-first order.
         """
-        pass  # TODO
-
-    def dfs_recursive(self, starting_vertex, destination_vertex):
+        stack = Stack()
+        visited = set()
+        
+        stack.push([starting_vertex])
+        
+        while stack.size() > 0:
+            current_path = stack.pop()
+            current_vert = current_path[-1]
+            
+            if current_vert == destination_vertex:
+                return current_path
+            
+            if current_vert not in visited:
+                visited.add(current_vert)
+                
+                for v in self.vertices[current_vert]:
+                    new_path = list(current_path)
+                    new_path.append(v)
+                    stack.push(new_path)
+
+    def dfs_recursive(self, starting_vertex, destination_vertex, path=None, visited=None):
         """
         Return a list containing a path from
         starting_vertex to destination_vertex in
@@ -74,7 +151,25 @@ def dfs_recursive(self, starting_vertex, destination_vertex):
 
         This should be done using recursion.
         """
-        pass  # TODO
+        if path == None:
+            path = []
+        if visited == None:
+            visited = set()
+            
+        path.append(starting_vertex)
+        visited.add(starting_vertex)
+                                
+        if starting_vertex == destination_vertex:
+            return path
+        
+        for v in self.get_neighbors(starting_vertex):
+            if v not in visited:
+                new_path = self.dfs_recursive(v, destination_vertex, path, visited)
+                if new_path is not None:
+                    return new_path
+                else:
+                    path.pop()
+                    
 
 if __name__ == '__main__':
     graph = Graph()  # Instantiate your graph
@@ -142,4 +237,4 @@ def dfs_recursive(self, starting_vertex, destination_vertex):
         [1, 2, 4, 7, 6]
     '''
     print(graph.dfs(1, 6))
-    print(graph.dfs_recursive(1, 6))
+    print(graph.dfs_recursive(1, 6))
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