diff --git a/graphify/cache.py b/graphify/cache.py
index f4cddebc0..807fa0f66 100644
--- a/graphify/cache.py
+++ b/graphify/cache.py
@@ -37,7 +37,7 @@ except Exception:
     _EXTRACTOR_VERSION = "unknown"
 
 # Bump when AST cache-key semantics change independently of the package version.
-_AST_CACHE_SCHEMA = 8  # Rust `use` groups: one imports_from edge per binding; prior (7): Python opaque-base/super(args) raw-call markers and nested-class enclosing ids.
+_AST_CACHE_SCHEMA = 9  # PowerShell dot-source with quoted/$PSScriptRoot paths and script-scope calls; prior (8): Rust `use` groups: one imports_from edge per binding; prior (7): Python opaque-base/super(args) raw-call markers and nested-class enclosing ids.
 
 
 # Per-process memo: distributions() scans site-packages metadata, which is
diff --git a/graphify/extractors/powershell.py b/graphify/extractors/powershell.py
index 51d561951..0bc6c9409 100644
--- a/graphify/extractors/powershell.py
+++ b/graphify/extractors/powershell.py
@@ -264,11 +264,14 @@ def extract_powershell(path: Path) -> dict:
                     (c for c in node.children if c.type == "command_name_expr"), None
                 )
                 if name_expr is not None:
+                    # Bare paths parse as command_name; `$PSScriptRoot\x.ps1` as path_command_name;
+                    # quoted paths as string_literal. The basename logic below handles all three.
                     name_node = next(
-                        (c for c in name_expr.children if c.type == "command_name"), None
+                        (c for c in name_expr.children
+                         if c.type in ("command_name", "path_command_name", "string_literal")), None
                     )
                     if name_node:
-                        raw_path = _read_text(name_node, source)
+                        raw_path = _read_text(name_node, source).strip().strip("'\"")
                         # Strip relative path prefix (./ or .\ or just the dot)
                         module_stem = re.sub(r'^[./\\]+', '', raw_path)
                         # Drop extension to get bare module name
@@ -414,6 +417,9 @@ def extract_powershell(path: Path) -> dict:
 
     for caller_nid, body_node, parent_class_nid in function_bodies:
         walk_calls(body_node, caller_nid, parent_class_nid)
+    # Script-scope commands (outside any function/class) are called by the file itself.
+    # walk_calls stops at function_statement/class_statement, so bodies are not walked twice.
+    walk_calls(root, file_nid, None)
 
     clean_edges = [e for e in edges if e["source"] in seen_ids and
                    (e["target"] in seen_ids or e["relation"] in ("imports_from", "imports"))]
diff --git a/tests/test_languages.py b/tests/test_languages.py
index 4e9bdb2cb..99aa44cc6 100644
--- a/tests/test_languages.py
+++ b/tests/test_languages.py
@@ -3092,6 +3092,49 @@ def test_powershell_dot_source_inside_function_emits_edge():
     )
 
 
+
+@pytest.mark.parametrize("line", [
+    '. "$PSScriptRoot\\lib.ps1"',   # quoted path with variable (most common in real scripts)
+    ". $PSScriptRoot\\lib.ps1",     # unquoted path with variable -> path_command_name
+    ". '.\\lib.ps1'",               # single-quoted relative path -> string_literal
+])
+def test_powershell_dot_source_quoted_or_variable_path_emits_edge(tmp_path, line):
+    """Dot-source with a quoted or $PSScriptRoot-based path emits imports_from (#4356)."""
+    f = tmp_path / "main.ps1"
+    f.write_text(line + "\n")
+    r = extract_powershell(f)
+    targets = {e["target"] for e in r["edges"] if e["relation"] == "imports_from"}
+    assert any(t.endswith("lib") for t in targets), f"Missing dot-source lib edge; targets={targets}"
+
+
+def test_powershell_script_scope_call_is_recorded(tmp_path):
+    """A call at script scope (outside any function) is attributed to the file (#4356)."""
+    f = tmp_path / "main.ps1"
+    f.write_text(
+        "function Helper { return 1 }\n"
+        "Helper\n"
+        "Get-External\n"
+    )
+    r = extract_powershell(f)
+    calls = {e["target"] for e in r["edges"] if e["relation"] == "calls"}
+    raw = {c["callee"] for c in r["raw_calls"]}
+    assert any(t.endswith("helper") for t in calls), f"Missing script-scope call to Helper; calls={calls}"
+    assert "Get-External" in raw, f"Missing script-scope raw call; raw={raw}"
+
+
+def test_powershell_script_scope_walk_does_not_duplicate_function_calls(tmp_path):
+    """Walking the file root must not re-attribute calls made inside function bodies."""
+    f = tmp_path / "mod.ps1"
+    f.write_text(
+        "function Helper { return 1 }\n"
+        "function Run { Helper }\n"
+    )
+    r = extract_powershell(f)
+    file_nid = next(n["id"] for n in r["nodes"] if n["label"] == f.name)
+    callers = {e["source"] for e in r["edges"] if e["relation"] == "calls"}
+    callers |= {c["caller_nid"] for c in r["raw_calls"]}
+    assert file_nid not in callers, f"File node became a caller; callers={callers}"
+
 # ── PowerShell manifest (.psd1) (#1331) ──────────────────────────────────────
 
 def test_powershell_psd1_dispatched():