diff --git a/stubs/networkx/networkx/algorithms/lowest_common_ancestors.pyi b/stubs/networkx/networkx/algorithms/lowest_common_ancestors.pyi
index ab7a8e5472cd..7de4949ccb7d 100644
--- a/stubs/networkx/networkx/algorithms/lowest_common_ancestors.pyi
+++ b/stubs/networkx/networkx/algorithms/lowest_common_ancestors.pyi
@@ -1,17 +1,26 @@
-from _typeshed import Incomplete
-from collections.abc import Generator
+from collections.abc import Generator, Iterable
+from typing import overload
+from typing_extensions import TypeVar
 
 from networkx.classes.digraph import DiGraph
 from networkx.classes.graph import _Node
 from networkx.utils.backends import _dispatchable
 
+_DefaultT = TypeVar("_DefaultT")
+
 __all__ = ["all_pairs_lowest_common_ancestor", "tree_all_pairs_lowest_common_ancestor", "lowest_common_ancestor"]
 
 @_dispatchable
-def all_pairs_lowest_common_ancestor(G: DiGraph[_Node], pairs=None): ...
+def all_pairs_lowest_common_ancestor(
+    G: DiGraph[_Node], pairs: Iterable[tuple[_Node, _Node]] | None = None
+) -> Generator[tuple[tuple[_Node, _Node], _Node | None]]: ...
+@overload
+@_dispatchable
+def lowest_common_ancestor(G: DiGraph[_Node], node1: _Node, node2: _Node, default: None = None) -> _Node | None: ...
+@overload
 @_dispatchable
-def lowest_common_ancestor(G: DiGraph[_Node], node1, node2, default=None): ...
+def lowest_common_ancestor(G: DiGraph[_Node], node1: _Node, node2: _Node, default: _DefaultT) -> _Node | _DefaultT: ...
 @_dispatchable
 def tree_all_pairs_lowest_common_ancestor(
-    G: DiGraph[_Node], root: _Node | None = None, pairs=None
-) -> Generator[Incomplete, None, None]: ...
+    G: DiGraph[_Node], root: _Node | None = None, pairs: Iterable[tuple[_Node, _Node]] | None = None
+) -> Generator[tuple[tuple[_Node, _Node], _Node]]: ...
diff --git a/stubs/networkx/networkx/classes/graph.pyi b/stubs/networkx/networkx/classes/graph.pyi
index ffdab103eaad..6335078252b1 100644
--- a/stubs/networkx/networkx/classes/graph.pyi
+++ b/stubs/networkx/networkx/classes/graph.pyi
@@ -8,6 +8,7 @@ from networkx.classes.coreviews import AdjacencyView, AtlasView
 from networkx.classes.digraph import DiGraph
 from networkx.classes.reportviews import DegreeView, EdgeView, NodeView
 
+_DefaultT = TypeVar("_DefaultT")
 _Node = TypeVar("_Node", bound=Hashable)
 _NodeWithData: TypeAlias = tuple[_Node, dict[str, Any]]
 _NodePlus: TypeAlias = _Node | _NodeWithData[_Node]
@@ -82,7 +83,10 @@ class Graph(Collection[_Node]):
     def neighbors(self, n: _Node) -> Iterator[_Node]: ...
     @cached_property
     def edges(self) -> EdgeView[_Node]: ...
-    def get_edge_data(self, u: _Node, v: _Node, default: Any = None) -> dict[str, Any]: ...
+    @overload
+    def get_edge_data(self, u: _Node, v: _Node, default: None = None) -> dict[str, Any] | None: ...
+    @overload
+    def get_edge_data(self, u: _Node, v: _Node, default: _DefaultT) -> dict[str, Any] | _DefaultT: ...
     # default:  any Python object
     def adjacency(self) -> Iterator[tuple[_Node, dict[_Node, dict[str, Any]]]]: ...
     @cached_property
diff --git a/stubs/networkx/networkx/classes/multigraph.pyi b/stubs/networkx/networkx/classes/multigraph.pyi
index d0bb1ef27c82..dc40c4e868a9 100644
--- a/stubs/networkx/networkx/classes/multigraph.pyi
+++ b/stubs/networkx/networkx/classes/multigraph.pyi
@@ -29,18 +29,25 @@ class MultiGraph(Graph[_Node]):
     def remove_edge(self, u: _Node, v: _Node, key: Hashable | None = None) -> None: ...
     def has_edge(self, u: _Node, v: _Node, key: Hashable | None = None) -> bool: ...
     @overload  # type: ignore[override]
-    def get_edge_data(
-        self, u: _Node, v: _Node, key: Hashable, default: _DefaultT | None = None
-    ) -> dict[str, Any] | _DefaultT: ...
+    def get_edge_data(self, u: _Node, v: _Node, key: Hashable, default: None = None) -> dict[str, Any] | None: ...
+    # key : hashable identifier, optional (default=None).
+    # Returns : The edge attribute dictionary.
+    @overload  # type: ignore[override]
+    def get_edge_data(self, u: _Node, v: _Node, key: Hashable, default: _DefaultT) -> dict[str, Any] | _DefaultT: ...
     # key : hashable identifier, optional (default=None).
     # default : any Python object (default=None). Value to return if the specific edge (u, v, key) is not found.
-    # Returns: The edge attribute dictionary.
+    # Returns : The edge attribute dictionary.
+    @overload
+    def get_edge_data(
+        self, u: _Node, v: _Node, key: None = None, default: None = None
+    ) -> dict[Hashable, dict[str, Any] | None]: ...
+    # Returns : A dictionary mapping edge keys to attribute dictionaries for each of those edges if no specific key is provided.
     @overload
     def get_edge_data(
-        self, u: _Node, v: _Node, key: None = None, default: _DefaultT | None = None
+        self, u: _Node, v: _Node, key: None = None, *, default: _DefaultT
     ) -> dict[Hashable, dict[str, Any] | _DefaultT]: ...
     # default : any Python object (default=None). Value to return if there are no edges between u and v and no key is specified.
-    # Returns: A dictionary mapping edge keys to attribute dictionaries for each of those edges if no specific key is provided.
+    # Returns : A dictionary mapping edge keys to attribute dictionaries for each of those edges if no specific key is provided.
     def copy(self, as_view: bool = False) -> MultiGraph[_Node]: ...
     def to_directed(self, as_view: bool = False) -> MultiDiGraph[_Node]: ...
     def to_undirected(self, as_view: bool = False) -> MultiGraph[_Node]: ...