exploring-graph

name: exploring-graph description: Analyze the knowledge graph for insights. Use when asked to "analyze connections", "graph report", "show hubs", "find orphans", or "knowledge map". allowed-tools: Read, Glob, Grep

Exploring the Knowledge Graph

This skill analyzes the structure of connections in the knowledge base to surface insights.

Workflow

1. Build the Connection Map

Parse all wiki-links from every content file:

# Extract all wiki-links
grep -oh '\[\[[^]]*\]\]' content/*.md

# Get links per file
for f in content/*.md; do
  echo "=== $f ==="
  grep -o '\[\[[^]]*\]\]' "$f"
done

Build an adjacency list:

• note-a → links to: [note-b, note-c]
• note-b → links to: [note-a]
• etc.

2. Calculate Metrics

For each note, determine:

3. Identify Patterns

Hub Notes (Most Connected)

Notes with the highest total connections - these are central to the knowledge base.

Orphan Notes

• Full orphans: 0 incoming AND 0 outgoing links
• Dead ends: Has outgoing but 0 incoming
• Sources: Has incoming but 0 outgoing

Clusters

Groups of notes that link heavily to each other but less to the rest. Identify by:

• Shared tags
• Mutual links
• Map membership - notes linked from a type: map note form visual clusters

Map Notes (MOCs)

Map notes (type: map) act as cluster centers on the graph:

• Appear as pink hexagons instead of circles
• Pull member notes toward them with gravitational force
• Members are defined by wiki-links FROM the map
• Use the Maps filter in the graph UI to focus on specific clusters

To find existing maps:

grep -l "type: map" content/*.md

Broken Links

Wiki-links pointing to non-existent notes.

4. Generate Insights Report

## Knowledge Graph Analysis

### Overview

- Total notes: 15
- Total connections: 42
- Average connections per note: 2.8

### Hub Notes (Top 5 Most Connected)

| Note                | Outgoing | Incoming | Total |
| ------------------- | -------- | -------- | ----- |
| [[central-concept]] | 5        | 8        | 13    |
| [[key-framework]]   | 4        | 6        | 10    |
| ...                 |          |          |       |

### Orphan Notes (Need Attention)

**Full Orphans** (isolated):

- `lonely-note.md` - no connections at all

**Dead Ends** (no incoming links):

- `new-note.md` - links out but not referenced

**Sources** (no outgoing links):

- `reference-only.md` - referenced but doesn't link

### Potential Clusters

**Vue Ecosystem** (5 notes, 12 internal links):

- [[vue-composables]]
- [[vue-testing]]
- [[nuxt-patterns]]
- ...

**AI/Agents** (3 notes, 6 internal links):

- [[12-factor-agents]]
- [[context-efficient-backpressure]]
- ...

### Connection Opportunities

Based on shared tags and titles, these notes might benefit from links:

- [[note-a]] and [[note-b]] share 3 tags but aren't linked

Graph Health Indicators

Quality Checklist

When analyzing:

• Parsed all wiki-links from all files
• Counted incoming/outgoing per note
• Identified hub notes
• Found orphan notes
• Detected potential clusters
• Checked for broken links
• Suggested connection opportunities