Learning Graph Quality Metrics Report

Overview

• Total Concepts: 214
• Foundational Concepts (no prerequisites, other concepts depend on them): 2
• Terminal Nodes (nothing depends on them, but have prerequisites): 83
• Orphaned Nodes (completely disconnected, no edges): 0
• Concepts with Dependencies: 212
• Average Dependencies per Concept: 1.48

Graph Structure Validation

• Valid DAG Structure: ✅ Yes
• Self-Dependencies: None detected ✅
• Cycles Detected: 0

Foundational Concepts

These concepts have no prerequisites:

• 1: Artificial Intelligence
• 28: Exponential Growth

Dependency Chain Analysis

• Maximum Dependency Chain Length: 24

Longest Learning Path:

1. Artificial Intelligence (ID: 1)
2. Machine Learning (ID: 2)
3. Large Language Model (ID: 3)
4. Public Knowledge (ID: 17)
5. Private Knowledge (ID: 18)
6. Knowledge Organization (ID: 52)
7. Strategic Planning (ID: 53)
8. AI Strategy (ID: 51)
9. Use Case Identification (ID: 57)
10. Idea Generation (ID: 67)
11. Idea Submission Form (ID: 69)
12. Idea Registry (ID: 70)
13. Idea Evaluation (ID: 73)
14. Feasibility Assessment (ID: 74)
15. Scoring Rubric (ID: 78)
16. Project Selection (ID: 82)
17. Project Portfolio (ID: 83)
18. Resource Assignment (ID: 86)
19. Project Team Formation (ID: 87)
20. Project Evaluation (ID: 90)
21. Success Metrics (ID: 91)
22. Key Performance Indicator (ID: 92)
23. Quarterly Executive Report (ID: 95)
24. Board Ready Strategy (ID: 200)

Terminal Nodes Analysis

Terminal nodes are concepts that nothing else depends on but have prerequisites. They represent natural endpoints of learning paths — culminating or specialized concepts.

• Total Terminal Nodes: 83 (38.8% of all concepts)
• Healthy Range: 5-40% of total concepts

Concepts at the end of learning paths:

• 11: Prompt Engineering
• 12: Context Window
• 13: Token
• 16: World Model
• 22: MMLU Benchmark
• 26: Fifty Percent Reliability
• 30: Moores Law Analogy
• 32: Capability Forecasting
• 34: Reasoning Model
• 35: One Shot Task
• 39: Benchmark Saturation
• 40: Intelligence Versus Price
• 43: Content Democratization
• 45: Local AI Models
• 49: Retrieval Augmented Generation
• 50: Fine Tuning
• 62: Competitive Advantage
• 63: Innovation Culture
• 71: Idea Metadata
• 77: Cost Estimation

...and 63 more

Orphaned Nodes Analysis

Orphaned nodes are completely disconnected concepts with no inbound AND no outbound edges. These indicate a quality problem — every concept should connect to the graph.

• Total Orphaned Nodes: 0

✅ No orphaned nodes detected. All concepts are connected to the graph.

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	47	AI Tutoring	9
2	99	Intelligent Textbook	9
3	4	Generative AI	8
4	53	Strategic Planning	8
5	1	Artificial Intelligence	7
6	191	SWOT Analysis	7
7	51	AI Strategy	6
8	73	Idea Evaluation	6
9	143	Responsible AI	6
10	176	AI Governance	6

Outdegree Distribution

Dependencies	Number of Concepts
0	2
1	118
2	89
3	4
5	1

Recommendations

• ✅ Terminal node percentage (38.8%): Within healthy range (5-40%)
• ✅ DAG structure verified: Graph supports valid learning progressions
• ℹ️ Long dependency chains (24): Ensure students can follow extended learning paths
• ℹ️ Consider adding cross-dependencies: More connections could create richer learning pathways

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Report generated by learning-graph-reports/analyze_graph.py