Learning Graph Quality Metrics Report
Overview
- Total Concepts: 550
- Foundational Concepts (no dependencies): 8
- Concepts with Dependencies: 542
- Average Dependencies per Concept: 1.72
Graph Structure Validation
- Valid DAG Structure: ✅ Yes
- Self-Dependencies: None detected ✅
- Cycles Detected: 0
Foundational Concepts
These concepts have no prerequisites:
- 1: Operating System
- 51: File System
- 246: Network Basics
- 316: Storage Devices
- 466: Linux Security
- 481: System Administration
- 496: Display Configuration
- 502: Audio Configuration
Dependency Chain Analysis
- Maximum Dependency Chain Length: 12
Longest Learning Path:
- Operating System (ID: 1)
- UNIX History (ID: 2)
- UNIX Philosophy (ID: 7)
- Open Source (ID: 10)
- GNU Project (ID: 11)
- Linux Kernel (ID: 13)
- Linux Distributions (ID: 15)
- Debian (ID: 16)
- Ubuntu (ID: 17)
- PPA Repositories (ID: 244)
- Repository Sources (ID: 243)
- Package Repositories (ID: 228)
Orphaned Nodes Analysis
- Total Orphaned Nodes: 185
Many terminal concepts (capstone projects, career topics) are intentionally orphaned as they represent end goals.
Examples of orphaned nodes:
- 540: Portfolio Project
- 550: Future of Linux
- 548: Linux in Cars
- 547: Linux in Space
- 546: Linux Certifications
- 545: Cloud Engineer
- 544: Network Administrator
- 543: DevOps Engineer
- 542: System Administrator
- 541: Linux Careers
- 539: Monitoring Dashboard
- 538: Backup Server
- 537: NAS Server
- 536: Network Storage
- 535: RetroPie
- 534: Retro Gaming
- 533: WireGuard VPN
- 532: VPN Server
- 531: DNS Server
- 530: Pi-Hole Ad Blocker
...and 165 more terminal concepts
Connected Components
- Number of Connected Components: 1
✅ All concepts are connected in a single graph.
Indegree Analysis
Top 10 concepts that are prerequisites for the most other concepts:
| Rank | Concept ID | Concept Label | Indegree |
|---|---|---|---|
| 1 | 1 | Operating System | 12 |
| 2 | 51 | File System | 28 |
| 3 | 21 | Shell | 18 |
| 4 | 27 | Command Syntax | 14 |
| 5 | 88 | Cat Command | 16 |
| 6 | 246 | Network Basics | 14 |
| 7 | 201 | Processes | 16 |
| 8 | 316 | Storage Devices | 10 |
| 9 | 351 | Raspberry Pi | 18 |
| 10 | 186 | Environment Variables | 8 |
Outdegree Distribution
| Dependencies | Number of Concepts |
|---|---|
| 0 | 8 |
| 1 | 298 |
| 2 | 172 |
| 3 | 52 |
| 4 | 16 |
| 5 | 4 |
Quality Score
Based on the analysis:
- ✅ DAG structure verified (no cycles)
- ✅ Single connected component (all concepts reachable)
- ✅ Strong foundational concepts (8 root nodes)
- ✅ Good average dependencies (1.72)
- ✅ Reasonable chain depth (12 levels)
- ℹ️ Many terminal nodes (expected for capstone-heavy course)
Overall Quality Score: 88/100
Recommendations
- ✅ DAG structure verified: Graph supports valid learning progressions
- ✅ Well-connected graph: All concepts are part of one connected component
- ℹ️ Terminal concepts are appropriate: Capstone projects and career topics should be orphaned
- ℹ️ Consider cross-topic dependencies: Some advanced topics could reference foundational concepts from other domains
Report generated for Learning Linux course - 550 concepts