diff --git a/manim/mobject/graph.py b/manim/mobject/graph.py
index d54c1e0457..940265ffda 100644
--- a/manim/mobject/graph.py
+++ b/manim/mobject/graph.py
@@ -679,8 +679,13 @@ def _populate_edge_dict(
         """Helper method for populating the edges of the graph."""
         raise NotImplementedError("To be implemented in concrete subclasses")
 
-    def __getitem__(self: Graph, v: Hashable) -> Mobject:
-        return self.vertices[v]
+    def __getitem__(self: Graph, k: Hashable | tuple[Hashable, Hashable]) -> Mobject:
+        if k in self.vertices:
+            return self.vertices[k]
+        elif k in self.edges:
+            return self.edges[k]
+        else:
+            raise ValueError(f"Could not find {k} in vertices or edges")
 
     def _create_vertex(
         self,
@@ -1351,6 +1356,11 @@ def construct(self):
                           g[2].animate.move_to([-1, 1, 0]),
                           g[3].animate.move_to([1, -1, 0]),
                           g[4].animate.move_to([-1, -1, 0]))
+                self.play(LaggedStart(Wiggle(g[(1, 2)]),
+                                      Wiggle(g[(2, 3)]),
+                                      Wiggle(g[(3, 4)]),
+                                      Wiggle(g[(1, 3)]),
+                                      Wiggle(g[(1, 4)])))
                 self.wait()
 
     There are several automatic positioning algorithms to choose from: