feat(dependency-graph): add transitive closure and deep chain analysis

- Implement transitive_closure(): computes full dependency tree for each node
- Implement find_deep_chains(): identifies longest paths in dependency graph
- JSON output now includes `transitive` and `deep_chains` fields
- Added comprehensive unit tests in scripts/test_dependency_graph.py (9 tests)
- Handles cycles correctly, excludes self-references from closure

Meets acceptance criteria for #111:
  ✅ Builds transitive dep tree
  ✅ Identifies deep chains and circular deps
  ✅ Output: transitive dependency graph (via --format json)

Closes #111

scripts/test_dependency_graph.py

@@ -0,0 +1,155 @@
+#!/usr/bin/env python3
+"""Tests for dependency_graph.py — transitive closure and deep chain detection."""
+
+import json
+import sys
+import os
+import tempfile
+import shutil
+from pathlib import Path
+
+sys.path.insert(0, os.path.dirname(__file__) or ".")
+
+import importlib.util
+spec = importlib.util.spec_from_file_location(
+    "dg", os.path.join(os.path.dirname(__file__) or ".", "dependency_graph.py")
+)
+mod = importlib.util.module_from_spec(spec)
+spec.loader.exec_module(mod)
+
+transitive_closure = mod.transitive_closure
+find_deep_chains = mod.find_deep_chains
+detect_cycles = mod.detect_cycles
+
+
+def make_graph(edges: dict[str, list[str]]) -> dict:
+    """Build graph dict in expected format: {repo: {"dependencies": [...]}}."""
+    return {
+        node: {"dependencies": sorted(deps), "files_scanned": 1}
+        for node, deps in edges.items()
+    }
+
+
+def test_transitive_closure_simple_chain():
+    graph = make_graph({
+        "A": ["B"],
+        "B": ["C"],
+        "C": [],
+    })
+    closure = transitive_closure(graph)
+    assert closure["A"] == {"B", "C"}
+    assert closure["B"] == {"C"}
+    assert closure["C"] == set()
+    print("✅ Simple chain transitive closure")
+
+
+def test_transitive_closure_diamond():
+    graph = make_graph({
+        "A": ["B", "C"],
+        "B": ["D"],
+        "C": ["D"],
+        "D": [],
+    })
+    closure = transitive_closure(graph)
+    assert closure["A"] == {"B", "C", "D"}
+    assert closure["B"] == {"D"}
+    assert closure["C"] == {"D"}
+    assert closure["D"] == set()
+    print("✅ Diamond closure")
+
+
+def test_transitive_closure_with_cycle():
+    graph = make_graph({
+        "A": ["B"],
+        "B": ["C"],
+        "C": ["A"],  # cycle
+    })
+    closure = transitive_closure(graph)
+    assert closure["A"] == {"B", "C"}
+    assert closure["B"] == {"C", "A"}
+    assert closure["C"] == {"A", "B"}
+    print("✅ Cycle in transitive closure")
+
+
+def test_find_deep_chains_simple():
+    graph = make_graph({
+        "A": ["B"],
+        "B": ["C"],
+        "C": [],
+    })
+    chains = find_deep_chains(graph)
+    chains_sorted = sorted(chains, key=len, reverse=True)
+    assert len(chains_sorted) == 1
+    assert chains_sorted[0] == ["A", "B", "C"]
+    print("✅ Simple deep chain")
+
+
+def test_find_deep_chains_multiple():
+    graph = make_graph({
+        "A": ["B", "C"],
+        "B": ["D"],
+        "C": ["E"],
+        "D": [],
+        "E": [],
+    })
+    chains = find_deep_chains(graph)
+    lengths = [len(c) for c in chains]
+    assert max(lengths) == 3
+    print("✅ Multiple chains detected")
+
+
+def test_find_deep_chains_with_cycle_does_not_infinite_loop():
+    graph = make_graph({
+        "A": ["B"],
+        "B": ["C"],
+        "C": ["A"],
+    })
+    chains = find_deep_chains(graph)
+    print(f"✅ Cycle handled: found {len(chains)} chains")
+
+
+def test_empty_graph():
+    graph = {}
+    assert transitive_closure(graph) == {}
+    assert find_deep_chains(graph) == []
+    print("✅ Empty graph handled")
+
+
+def test_detect_cycles_shorthand():
+    graph = make_graph({
+        "A": ["B"],
+        "B": ["C"],
+        "C": ["A"],
+    })
+    cycles = detect_cycles(graph)
+    assert len(cycles) == 1
+    assert set(cycles[0]) == {"A", "B", "C"}
+    print("✅ Cycle detection works")
+
+
+def test_chain_length_reporting():
+    graph = make_graph({
+        "root": ["a", "b"],
+        "a": ["c"],
+        "b": ["d"],
+        "c": ["e"],
+        "d": [],
+        "e": [],
+    })
+    chains = find_deep_chains(graph)
+    max_len = max(len(c) for c in chains)
+    assert max_len == 4
+    print(f"✅ Longest chain length: {max_len}")
+
+
+if __name__ == "__main__":
+    test_transitive_closure_simple_chain()
+    test_transitive_closure_diamond()
+    test_transitive_closure_with_cycle()
+    test_find_deep_chains_simple()
+    test_find_deep_chains_multiple()
+    test_find_deep_chains_with_cycle_does_not_infinite_loop()
+    test_empty_graph()
+    test_detect_cycles_shorthand()
+    test_chain_length_reporting()
+    print("\n✅ All dependency graph tests passed")