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/dependency_graph.py

@@ -180,6 +180,89 @@ def to_mermaid(graph: dict) -> str:
     return "\n".join(lines)
 
 
+
+def transitive_closure(graph: dict) -> dict:
+    """Compute transitive closure for each node (all indirect deps)."""
+    closure = {}
+    # Build adjacency list
+    adj = {node: set(data.get("dependencies", [])) for node, data in graph.items()}
+    all_nodes = set(adj.keys()) | set().union(*adj.values())
+    
+    for node in all_nodes:
+        visited = set()
+        stack = list(adj.get(node, set()))
+        while stack:
+            current = stack.pop()
+            if current not in visited:
+                visited.add(current)
+                stack.extend(adj.get(current, set()))
+        # Remove self-reference: a node's transitive deps should not include itself
+        visited.discard(node)
+        closure[node] = visited
+    
+    return closure
+
+
+def find_deep_chains(graph: dict) -> list[list[str]]:
+    """Find the longest simple paths in the dependency graph (ignoring cycles)."""
+    from collections import defaultdict
+    
+    adj = {node: list(data.get("dependencies", [])) for node, data in graph.items()}
+    deepest = []
+    max_len = 0
+    
+    def dfs(node: str, path: list, visited: set):
+        nonlocal deepest, max_len
+        # Stop if we hit a cycle (node already in path)
+        if node in path:
+            return
+        new_path = path + [node]
+        if node not in adj or not adj[node]:
+            # leaf
+            if len(new_path) > max_len:
+                max_len = len(new_path)
+                deepest = [new_path.copy()]
+            elif len(new_path) == max_len:
+                deepest.append(new_path.copy())
+        else:
+            for neighbor in adj[node]:
+                dfs(neighbor, new_path.copy(), visited | {node})
+    
+    for start in graph:
+        dfs(start, [], set())
+    
+    return deepest
+
+
+def format_transitive_markdown(closure: dict) -> str:
+    """Render transitive closure as a markdown table."""
+    lines = ["# Transitive Dependencies\n\n"]
+    lines.append("| Node | Transitive Dependencies | Count |\n")
+    lines.append("|------|------------------------|-------|\n")
+    for node in sorted(closure.keys()):
+        deps = closure[node]
+        deps_str = ", ".join(sorted(deps)) if deps else "(none)"
+        lines.append(f"| {node} | {deps_str} | {len(deps)} |\n")
+    return "".join(lines)
+
+
+def format_deep_chains_markdown(chains: list[list[str]]) -> str:
+    """Render longest dependency chains as a markdown list."""
+    lines = ["# Deepest Dependency Chains\n\n"]
+    if not chains:
+        lines.append("No chains found.\n")
+        return "".join(lines)
+    max_len = max(len(c) for c in chains)
+    lines.append(f"*Longest chain length:* {max_len}\n\n")
+    for i, chain in enumerate(sorted(chains, key=lambda c: (-len(c), " -> ".join(c))), 1):
+        lines.append(f"**Chain {i}** ({len(chain)} nodes)\n\n")
+        indent = "  "
+        for j, node in enumerate(chain):
+            arrow = "  → " if j < len(chain)-1 else "  • "
+            lines.append(f"{indent}{arrow}{node}\n")
+        lines.append("\n")
+    return "".join(lines)
+
 def main():
     parser = argparse.ArgumentParser(description="Build cross-repo dependency graph")
     parser.add_argument("repos_dir", nargs="?", help="Directory containing repos")
@@ -228,13 +311,20 @@ def main():
     elif args.format == "mermaid":
         output = to_mermaid(results)
     else:
+        # Compute transitive and deep chains
+        closure = transitive_closure(results)
+        deep_chains = find_deep_chains(results)
         output = json.dumps({
             "repos": results,
             "cycles": cycles,
+            "transitive": {node: sorted(deps) for node, deps in closure.items()},
+            "deep_chains": [chain for chain in deep_chains if len(chain) > 1],
             "summary": {
                 "total_repos": len(results),
                 "total_deps": sum(len(r["dependencies"]) for r in results.values()),
                 "cycles_found": len(cycles),
+                "transitive_pairs": sum(len(deps) for deps in closure.values()),
+                "longest_chain_length": max((len(c) for c in deep_chains), default=0),
             }
         }, indent=2)
 

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")