tools-only Learning Graph Quality Metrics Report
Overview
- Total Concepts: 200
- Foundational Concepts (no dependencies): 8
- Concepts with Dependencies: 192
- Average Dependencies per Concept: 1.18
Graph Structure Validation
- Valid DAG Structure: ❌ No
- Self-Dependencies: None detected ✅
- Cycles Detected: 0
Foundational Concepts
These concepts have no prerequisites:
- 1: Artificial Intelligence
- 26: Intelligent Textbook
- 37: Markdown Formatting Basics
- 91: Taxonomy
- 153: Git
- 162: Visual Studio Code
- 168: Python
- 191: Command-Line Interface Basics
Dependency Chain Analysis
- Maximum Dependency Chain Length: 11
Longest Learning Path:
- Intelligent Textbook (ID: 26)
- Learning Graph (ID: 39)
- Concept Nodes in Learning Graphs (ID: 40)
- Concept Dependencies (ID: 44)
- Dependency Mapping Process (ID: 70)
- CSV File Format for Graphs (ID: 71)
- vis-network JSON Format (ID: 99)
- JSON Schema for Learning Graphs (ID: 100)
- Metadata Section in JSON (ID: 101)
- Dublin Core Metadata (ID: 105)
- Title Metadata Field (ID: 106)
Orphaned Nodes Analysis
- Total Orphaned Nodes: 104
Concepts that are not prerequisites for any other concept:
- 3: Large Language Models Overview
- 9: Skill Name and Description
- 10: Skill License Information
- 12: Skill Workflow Instructions
- 14: Listing Available Skills
- 16: Skill Execution Context
- 18: Command Definition Files
- 19: Installing Claude Commands
- 20: Difference Between Skills & Commands
- 23: Python Scripts in Skills
- 24: Template Files in Skills
- 25: Reference Documentation in Skills
- 32: Level 5: AI Personalization
- 36: Navigation Structure in MkDocs
- 38: Admonitions in MkDocs
- 43: Prerequisite Relationships
- 45: Learning Pathways
- 47: Target Audience Definition
- 48: Course Prerequisites
- 49: Main Topics Covered
...and 84 more
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 | 26 | Intelligent Textbook | 13 |
| 2 | 71 | CSV File Format for Graphs | 10 |
| 3 | 82 | Quality Metrics for Graphs | 8 |
| 4 | 53 | Bloom's 2001 Revision | 7 |
| 5 | 105 | Dublin Core Metadata | 7 |
| 6 | 6 | Claude Skill | 6 |
| 7 | 13 | Installing a Claude Skill | 6 |
| 8 | 39 | Learning Graph | 6 |
| 9 | 46 | Course Description | 6 |
| 10 | 116 | ISO 11179 Standards | 6 |
Outdegree Distribution
| Dependencies | Number of Concepts |
|---|---|
| 0 | 8 |
| 1 | 166 |
| 2 | 22 |
| 3 | 3 |
| 8 | 1 |
Recommendations
- ⚠️ Many orphaned nodes (104): Consider if these should be prerequisites for advanced concepts
- ℹ️ Consider adding cross-dependencies: More connections could create richer learning pathways
Report generated by learning-graph-reports/analyze_graph.py