diff --git a/src/backend/langflow/graph/edge/base.py b/src/backend/langflow/graph/edge/base.py
index 3fcccde9d..569d33ec0 100644
--- a/src/backend/langflow/graph/edge/base.py
+++ b/src/backend/langflow/graph/edge/base.py
@@ -48,6 +48,16 @@ class Edge:
 
     def __repr__(self) -> str:
         return (
-            f"Edge(source={self.source.id}, target={self.target.id}, valid={self.valid}"
+            f"Edge(source={self.source.id}, target={self.target.id}, target_param={self.target_param}"
             f", matched_type={self.matched_type})"
         )
+
+    def __hash__(self) -> int:
+        return hash(self.__repr__())
+
+    def __eq__(self, __value: object) -> bool:
+        return (
+            self.__repr__() == __value.__repr__()
+            if isinstance(__value, Edge)
+            else False
+        )
diff --git a/src/backend/langflow/graph/vertex/base.py b/src/backend/langflow/graph/vertex/base.py
index a7fcf88b5..193684cb6 100644
--- a/src/backend/langflow/graph/vertex/base.py
+++ b/src/backend/langflow/graph/vertex/base.py
@@ -95,7 +95,7 @@ class Vertex:
                     if param_key not in params:
                         params[param_key] = []
                     params[param_key].append(edge.source)
-                else:
+                elif edge.target.id == self.id:
                     params[param_key] = edge.source
 
         for key, value in template_dict.items():
@@ -204,7 +204,8 @@ class Vertex:
         return self._built_object
 
     def add_edge(self, edge: "Edge") -> None:
-        self.edges.append(edge)
+        if edge not in self.edges:
+            self.edges.append(edge)
 
     def __repr__(self) -> str:
         return f"Node(id={self.id}, data={self.data})"