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056 Chapter 2cb725e9

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**Chapter:** 06 - Learning Graph Quality Validation **Generator:** vis-network **Match Score:** 98/100 **Difficulty:** Medium

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  • Added October 11, 2026
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SKILL.md
# DAG Validation Algorithm Visualization

**Chapter:** 06 - Learning Graph Quality Validation
**Generator:** vis-network
**Match Score:** 98/100
**Difficulty:** Medium

## Specification

<summary>DAG Validation Algorithm Visualization</summary>
    Type: diagram

    Purpose: Illustrate the three-color DFS algorithm used for cycle detection in learning graphs

    Components to show:
    - A sample learning graph with 8 nodes arranged in a network
    - Color-coded nodes showing White (gray), Gray (yellow), Black (green)
    - Directed edges showing dependencies
    - One back edge highlighted in red creating a cycle
    - DFS traversal stack shown on the right side
    - Traversal order numbered 1-8

    Layout: Network graph on left (70%), DFS stack visualization on right (30%)

    Example nodes:
    - Node 1: "Variables" (Black - completed)
    - Node 2: "Functions" (Black - completed)
    - Node 3: "Loops" (Gray - in progress)
    - Node 4: "Recursion" (Gray - in progress)
    - Node 5: "Data Structures" (White - unvisited)
    - Node 6: "Algorithms" (White - unvisited)

    Edges:
    - Black arrows: Valid forward edges
    - Red arrow: Back edge from "Recursion" to "Loops" (cycle detected!)

    Annotations:
    - Arrow pointing to red edge: "Cycle detected: Loops ← Recursion ← Loops"
    - Stack showing: [Loops, Recursion]

    Style: Network diagram with color-coded nodes and directional arrows

    Implementation: SVG diagram with color-coded circles and arrows

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