Learning Graph Quality Metrics Report¶
Overview¶
- Total Concepts: 241
- Foundational Concepts (no prerequisites, other concepts depend on them): 25
- Terminal Nodes (nothing depends on them, but have prerequisites): 137
- Orphaned Nodes (completely disconnected, no edges): 0
- Concepts with Dependencies: 216
- Average Dependencies per Concept: 1.88
Graph Structure Validation¶
- Valid DAG Structure: ✅ Yes
- Self-Dependencies: None detected ✅
- Cycles Detected: 0
Foundational Concepts¶
These concepts have no prerequisites:
- 1: Scientific Method
- 11: Atoms and Molecules in Food
- 13: Water Molecule Structure
- 17: pH Scale
- 21: Carbohydrates Overview
- 25: Proteins in Food Chemistry
- 28: Lipids Overview
- 31: Heat Transfer Fundamentals
- 76: Bacteria Cell Structure
- 82: Yeast Cell Structure
- 85: Fermentation Overview
- 96: Temperature Danger Zone
- 97: Foodborne Illness Overview
- 113: Macronutrients Overview
- 117: Micronutrients Overview
- 133: Food Preservation Principles
- 149: Five Basic Tastes
- 165: Industrial Food Production
- 170: Food Additives Overview
- 181: Farm-to-Table Concept
- 182: Food System Components
- 196: Post-Harvest Plant Physiology
- 213: NOVA Classification System
- 216: Food Culture and Climate
- 226: Food Engineering Principles
Dependency Chain Analysis¶
- Maximum Dependency Chain Length: 8
Longest Learning Path:¶
- Atoms and Molecules in Food (ID: 11)
- Chemical Bonds in Food (ID: 12)
- Hydrogen Bonding in Food (ID: 14)
- Water as Universal Solvent (ID: 15)
- Wild Yeast Capture (ID: 67)
- Sourdough Starter Ecosystem (ID: 68)
- Sourdough Feeding Ratio (ID: 70)
- Sourdough Starter Float Test (ID: 71)
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: 137 (56.8% of all concepts)
- Healthy Range: 5-40% of total concepts
Concepts at the end of learning paths:
- 6: Variables in Experiments
- 7: Hypothesis Formation
- 8: Graph and Data Interpretation
- 9: Metric System in Science
- 10: Scientific Communication
- 27: Peptide Bonds
- 30: Saturated vs Unsaturated Fats
- 32: Conduction in Cooking
- 33: Convection in Cooking
- 34: Radiation in Cooking
- 38: Caramelization
- 40: Specific Heat Capacity of Food
- 41: Thermal Conductivity of Foods
- 42: Internal Cooking Temperature
- 43: Enzymatic Browning
- 45: Smoke Point of Cooking Fats
- 46: Pressure Cooking Science
- 47: Microwave Heating Mechanism
- 52: Kneading and Gluten Development
- 58: Chemical Leavening Reactions
...and 117 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 | 182 | Food System Components | 20 |
| 2 | 31 | Heat Transfer Fundamentals | 19 |
| 3 | 76 | Bacteria Cell Structure | 17 |
| 4 | 117 | Micronutrients Overview | 17 |
| 5 | 113 | Macronutrients Overview | 14 |
| 6 | 149 | Five Basic Tastes | 13 |
| 7 | 22 | Monosaccharides | 12 |
| 8 | 25 | Proteins in Food Chemistry | 12 |
| 9 | 97 | Foodborne Illness Overview | 12 |
| 10 | 133 | Food Preservation Principles | 12 |
Outdegree Distribution¶
| Dependencies | Number of Concepts |
|---|---|
| 0 | 25 |
| 1 | 57 |
| 2 | 131 |
| 3 | 26 |
| 4 | 2 |
Recommendations¶
- ℹ️ High terminal node percentage (56.8%): Consider if some terminal concepts should be prerequisites for advanced concepts
- ✅ DAG structure verified: Graph supports valid learning progressions
Report generated by learning-graph-reports/analyze_graph.py