Learning Graph Quality Metrics Report

Overview

• Total Concepts: 300
• Foundational Concepts (no prerequisites, other concepts depend on them): 4
• Terminal Nodes (nothing depends on them, but have prerequisites): 39
• Orphaned Nodes (completely disconnected, no edges): 0
• Concepts with Dependencies: 296
• Average Dependencies per Concept: 2.07

Graph Structure Validation

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

Foundational Concepts

These concepts have no prerequisites:

• 1: Entrepreneurship
• 2: Early-Stage Venture
• 3: Unrefined Concept
• 4: Business Idea

Dependency Chain Analysis

• Maximum Dependency Chain Length: 25

Longest Learning Path:

1. Business Idea (ID: 4)
2. Idea Trap (ID: 5)
3. Lean Startup Philosophy (ID: 10)
4. CO.STARTERS Canvas (ID: 27)
5. Business Model Canvas (ID: 28)
6. Customer Block (ID: 31)
7. Target Customer (ID: 43)
8. Problem Definition (ID: 67)
9. Solution Definition (ID: 87)
10. Alternative Solution (ID: 107)
11. Value Proposition (ID: 125)
12. Messaging Framework (ID: 197)
13. Thirty-Day Launch Plan (ID: 273)
14. Launch Roadmap (ID: 274)
15. Who To Sell To (ID: 277)
16. Launch Readiness (ID: 280)
17. Setback Normalization (ID: 283)
18. Mini Pitch (ID: 286)
19. Two-Minute Pitch (ID: 287)
20. Public Commitment (ID: 289)
21. Accountability Network (ID: 290)
22. Peer Accountability (ID: 291)
23. Slack Community (ID: 294)
24. Operational Roadmap (ID: 297)
25. Post-Course Support (ID: 300)

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: 39 (13.0% of all concepts)
• Healthy Range: 5-40% of total concepts

Concepts at the end of learning paths:

• 24: Customer Empathy
• 25: Business Viability
• 26: Growth Mindset
• 64: Customer Prioritization
• 65: Serviceable Market
• 66: Customer Assumption
• 84: Willingness To Solve
• 85: Essential Bills Priority
• 86: Problem Discovery
• 104: Offer Clarity
• 105: Solution Testing
• 106: Solution Pivot
• 122: Competitive Landscape Mapping
• 123: Alternative Assessment
• 124: Competitive Intelligence
• 144: Value Differentiation
• 145: Advantage Sustainability
• 146: Value Proposition Refinement
• 168: Assumption Dismantling
• 169: Weak Assumption

...and 19 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	43	Target Customer	28
2	273	Thirty-Day Launch Plan	27
3	171	Lean Validation	26
4	147	Discovery Interview	24
5	4	Business Idea	23
6	87	Solution Definition	23
7	125	Value Proposition	23
8	67	Problem Definition	22
9	234	Revenue Model	21
10	197	Messaging Framework	20

Outdegree Distribution

Dependencies	Number of Concepts
0	4
1	26
2	230
3	35
4	4
6	1

Recommendations

• ✅ Terminal node percentage (13.0%): Within healthy range (5-40%)
• ✅ DAG structure verified: Graph supports valid learning progressions
• ℹ️ Long dependency chains (25): Ensure students can follow extended learning paths

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