Skip to content

Learning Graph Quality Metrics Report

Overview

  • Total Concepts: 600
  • Foundational Concepts (no prerequisites, other concepts depend on them): 1
  • Terminal Nodes (nothing depends on them, but have prerequisites): 383
  • Orphaned Nodes (completely disconnected, no edges): 0
  • Concepts with Dependencies: 599
  • Average Dependencies per Concept: 1.18

Graph Structure Validation

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

Foundational Concepts

These concepts have no prerequisites:

  • 1: Coordinate System

Dependency Chain Analysis

  • Maximum Dependency Chain Length: 11

Longest Learning Path:

  1. Coordinate System (ID: 1)
  2. Canvas Element (ID: 2)
  3. Setup Function (ID: 3)
  4. Let Variable Declaration (ID: 103)
  5. Function Declaration Syntax (ID: 341)
  6. Callback Function Logic (ID: 345)
  7. Promise Object Async (ID: 364)
  8. Fetch API Web Request (ID: 367)
  9. JSON Parse String (ID: 368)
  10. JSON Stringify Object (ID: 369)
  11. Local Storage Persistence (ID: 373)

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: 383 (63.8% of all concepts)
  • Healthy Range: 5-40% of total concepts

Concepts at the end of learning paths:

  • 6: Frame Count
  • 10: Create Canvas Function
  • 14: Redraw Function
  • 15: Loop Control Function
  • 18: Full Screen Mode
  • 20: Pixel Density Control
  • 23: Code Comments Syntax
  • 26: CDN Script Loading
  • 29: p5 Constructor Function
  • 30: Render Cycle Loop
  • 32: Target Frame Rate Setting
  • 33: Canvas Aspect Ratio
  • 38: Circle Shortcut Function
  • 39: Square Shortcut Function
  • 40: Triangle Primitive
  • 41: Quad Primitive
  • 42: Arc Shape Primitive
  • 43: Ellipse Mode Center
  • 44: Ellipse Mode Corner
  • 45: Rect Mode Center

...and 363 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 2 Canvas Element 29
2 122 Array Data Structure 19
3 409 p5 Sound Library Include 18
4 1 Coordinate System 17
5 69 RGB Color Space 14
6 477 Load Image Function 14
7 239 p5 Vector Class Concept 12
8 509 Text Drawing Function 12
9 36 Rectangle Primitive 11
10 205 Random Function Float 11

Outdegree Distribution

Dependencies Number of Concepts
0 1
1 495
2 98
3 6

Recommendations

  • ℹ️ High terminal node percentage (63.8%): Consider if some terminal concepts should be prerequisites for advanced concepts
  • ✅ DAG structure verified: Graph supports valid learning progressions
  • ℹ️ Consider adding cross-dependencies: More connections could create richer learning pathways

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