# INITIATIVE-009D — Graph Simulation

**Date:** 2026-06-23

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## Before State

| Metric | Value | Source |
|--------|-------|--------|
| REQUIRES_COUNT | 13 | `meta/MEMORY_STATE.md` confirmed |
| Cycles | 0 | `validate-graph.yml` |
| Dangling targets | 0 | `validate-graph.yml` |
| Duplicate edges | 0 | `validate-graph.yml` |
| Node count | 368 | `meta/MEMORY_STATE.md` |
| Edge count | 778 | `meta/MEMORY_STATE.md` |

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## After State (approved edges applied)

| Metric | Before | After | Delta |
|--------|--------|-------|-------|
| REQUIRES_COUNT | 13 | **15** | +2 |
| Cycles | 0 | **0** | 0 |
| Dangling targets | 0 | **0** | 0 |
| Duplicate edges | 0 | **0** | 0 |
| Node count | 368 | **368** | 0 (no new nodes) |
| Edge count | 778 | **780** | +2 |

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## Cycle Analysis

**Edge 1:** `bug-fixing → debugging`  
- Forward path: bug-fixing → debugging  
- Reverse check: does debugging have any path to bug-fixing? `debugging.md` has no prerequisites declared. No cycle risk.  
- **Result: SAFE**

**Edge 2:** `code-generation → algorithm-design`  
- Forward path: code-generation → algorithm-design  
- Reverse check: does algorithm-design have any path to code-generation? `algorithm-design.md` has no prerequisites declared (stub file, 970 bytes). No cycle risk.  
- **Result: SAFE**

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## Dependency Depth Impact

| Node | Depth Before | Depth After |
|------|-------------|-------------|
| `bug-fixing` | 0 | **1** (→ debugging) |
| `code-generation` | 0 | **1** (→ algorithm-design) |
| `debugging` | 0 | 0 (receives edge, not affected) |
| `algorithm-design` | 0 | 0 (receives edge, not affected) |

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## Orphan Reduction

`bug-fixing` and `code-generation` were previously orphan nodes in the REQUIRES subgraph (no incoming or outgoing REQUIRES edges). After this initiative:  
- `bug-fixing` gains 1 outgoing REQUIRES edge → no longer isolated  
- `code-generation` gains 1 outgoing REQUIRES edge → no longer isolated  

**Orphans removed from REQUIRES subgraph: 2**
