Skip to content

Learning Graph Quality Metrics Report

Overview

  • Total Concepts: 200
  • Foundational Concepts (no prerequisites, other concepts depend on them): 26
  • Terminal Nodes (nothing depends on them, but have prerequisites): 66
  • Orphaned Nodes (completely disconnected, no edges): 0
  • Concepts with Dependencies: 174
  • Average Dependencies per Concept: 2.00

Graph Structure Validation

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

Foundational Concepts

These concepts have no prerequisites:

  • 6: Volatility
  • 7: Uncertainty
  • 8: Complexity
  • 9: Ambiguity
  • 13: Breakthrough Solutions
  • 15: Innovation Theory
  • 17: Opposing Forces
  • 61: Non-Linear Thinking
  • 62: Divergent Thinking
  • 63: Convergent Thinking
  • 79: Conscious Cognition
  • 86: Socratic Dialectic
  • 87: Thesis
  • 88: Antithesis
  • 90: Platonic Morphology
  • 93: Aristotelian Ontology
  • 94: Philosophical Categories
  • 106: TRIZ Framework
  • 109: Morphological Analysis
  • 116: Inventive Thinking
  • 126: Systems-Level Lens
  • 167: Biological Stability
  • 168: Economic Stability
  • 171: Intellectual Diversity
  • 186: Intrinsic Motivation
  • 187: Extrinsic Motivation

Dependency Chain Analysis

  • Maximum Dependency Chain Length: 14

Longest Learning Path:

  1. Opposing Forces (ID: 17)
  2. Contradiction (ID: 16)
  3. Two-by-Two Matrix Template (ID: 19)
  4. Q4 Ideal Configuration (ID: 23)
  5. Ideal Configuration (ID: 24)
  6. Identify Ideal Configuration (ID: 42)
  7. Invert the Null Hypothesis (ID: 43)
  8. Map Opposing Forces (ID: 44)
  9. Go Vertical (ID: 45)
  10. Four-Step Functional Kernel (ID: 41)
  11. Problem Resolution (ID: 33)
  12. Resolution vs. Optimization (ID: 35)
  13. Optimization Trap (ID: 37)
  14. Compromise vs. Synthesis (ID: 38)

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: 66 (33.0% of all concepts)
  • Healthy Range: 5-40% of total concepts

Concepts at the end of learning paths:

  • 2: Innovation Radiation
  • 11: Einstein's Problem Paradox
  • 28: Contradiction as Analysis Unit
  • 29: Problem-First Orientation
  • 30: Three-Step Innovation Cycle
  • 34: Gap Between Current and Ideal
  • 36: Best of Both Worlds Principle
  • 38: Compromise vs. Synthesis
  • 39: Breakthrough vs. Incremental
  • 40: Matrix Template Application
  • 47: Functional Recomposition
  • 49: Design Stage
  • 51: Technology Development Stage
  • 55: Inverting Assumptions
  • 58: Sub-Optimal Configurations
  • 60: Innovation Roadmap
  • 68: Analogous Thinking
  • 69: Orthogonal Thinking
  • 72: Intentional Wandering
  • 78: Cognitive Bias Awareness

...and 46 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 16 Contradiction 11
2 62 Divergent Thinking 9
3 126 Systems-Level Lens 9
4 151 Organizational Agility 8
5 1 Matrix Morphology 7
6 23 Q4 Ideal Configuration 7
7 32 Problem Definition 7
8 63 Convergent Thinking 7
9 19 Two-by-Two Matrix Template 6
10 70 Cognitive Flexibility 6

Outdegree Distribution

Dependencies Number of Concepts
0 26
1 36
2 108
3 26
4 2
5 2

Recommendations

  • ✅ Terminal node percentage (33.0%): Within healthy range (5-40%)
  • ✅ DAG structure verified: Graph supports valid learning progressions

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