diff --git a/src/backend/langflow/graph/graph/base.py b/src/backend/langflow/graph/graph/base.py
index 38e92709f..d805c70f1 100644
--- a/src/backend/langflow/graph/graph/base.py
+++ b/src/backend/langflow/graph/graph/base.py
@@ -3,8 +3,6 @@ from collections import defaultdict, deque
 from typing import TYPE_CHECKING, Dict, Generator, List, Optional, Type, Union
 
 from langchain.chains.base import Chain
-from loguru import logger
-
 from langflow.graph.edge.base import ContractEdge
 from langflow.graph.graph.constants import lazy_load_vertex_dict
 from langflow.graph.graph.state_manager import GraphStateManager
@@ -20,6 +18,7 @@ from langflow.graph.vertex.types import (
 )
 from langflow.interface.tools.constants import FILE_TOOLS
 from langflow.utils import payload
+from loguru import logger
 
 if TYPE_CHECKING:
     from langflow.graph.schema import ResultData
@@ -270,6 +269,16 @@ class Graph:
         # Find vertices that are in self but not in other (removed vertices)
         removed_vertex_ids = existing_vertex_ids - other_vertex_ids
 
+        # Remove vertices that are not in the other graph
+        for vertex_id in removed_vertex_ids:
+            self.remove_vertex(vertex_id)
+
+        # Add new vertices
+        for vertex_id in new_vertex_ids:
+            new_vertex = other.get_vertex(vertex_id)
+            new_vertex.graph = self
+            self._add_vertex(new_vertex)
+
         # Update existing vertices that have changed
         for vertex_id in existing_vertex_ids.intersection(other_vertex_ids):
             self_vertex = self.get_vertex(vertex_id)
@@ -291,15 +300,6 @@ class Graph:
                     self_vertex.set_top_level(self.top_level_vertices)
                 self.reset_all_edges_of_vertex(self_vertex)
 
-        # Remove vertices
-        for vertex_id in removed_vertex_ids:
-            self.remove_vertex(vertex_id)
-
-        # Add new vertices
-        for vertex_id in new_vertex_ids:
-            new_vertex = other.get_vertex(vertex_id)
-            self._add_vertex(new_vertex)
-
         self.build_graph_maps()
         self.increment_update_count()
         return self
@@ -612,7 +612,7 @@ class Graph:
         excluded = set()  # To keep track of vertices that should be excluded
         stack = [vertex_id]  # Use a list as a stack for DFS
 
-        def get_successors(vertex):
+        def get_successors(vertex, recursive=True):
             # Recursively get the successors of the current vertex
             successors = vertex.successors
             if not successors:
@@ -620,8 +620,9 @@ class Graph:
             successors_result = []
             for successor in successors:
                 # Just return a list of successors
-                next_successors = get_successors(successor)
-                successors_result.extend(next_successors)
+                if recursive:
+                    next_successors = get_successors(successor)
+                    successors_result.extend(next_successors)
                 successors_result.append(successor)
             return successors_result