diff --git a/graphs/possible_bipartition.py b/graphs/possible_bipartition.py
index ca55677..386de08 100644
--- a/graphs/possible_bipartition.py
+++ b/graphs/possible_bipartition.py
@@ -8,5 +8,44 @@ def possible_bipartition(dislikes):
         Time Complexity: ?
         Space Complexity: ?
     """
-    pass
+    # dislikes = { 
+        # "Fido": [],
+        # "Nala": ["Cooper", "Spot"],
+        # "Cooper": ["Nala", "Bruno"],
+        # "Spot": ["Nala"],
+        # "Bruno": ["Cooper"]
+        # }
+
+    if not dislikes:
+        return True
+
+    dog_pen = {dog:0 for dog in dislikes}
+
+    start_dog = list(dislikes.keys())[0]
+    dog_pen[start_dog] = 1
+
+    dog_list = [dog for dog in dislikes]
+    queue = [start_dog]
+
+    for dog in dog_pen:
+        while queue: 
+            current_dog = queue.pop(0)
+            dog_list.remove(current_dog)
+
+            for dog in dislikes[current_dog]:
+                # if the disliked dog is not sorted in the dogpen
+                if dog_pen[dog] == 0:
+                    # make the value of the disliked dog in the group 
+                    if dog_pen[current_dog] == 1:
+                        dog_pen[dog] = 2
+                    else:
+                        dog_pen[dog] = 1
+                    if dog in dog_list:
+                        queue.append(dog)
+                elif dog_pen[dog] == dog_pen[current_dog]:
+                    return False
+        if dog_list:
+            queue.append(dog_list[0])
+        else:
+            return True