graph

Runtime Configuration (Step 0 — before any processing)

Read these files to configure domain-specific behavior:

1. ops/derivation-manifest.md — vocabulary mapping, platform hints

   • Use vocabulary.notes for the notes folder name
   • Use vocabulary.note / vocabulary.note_plural for note type references
   • Use vocabulary.topic_map / vocabulary.topic_map_plural for MOC references
   • Use vocabulary.cmd_reflect for connection-finding command name
   • Use vocabulary.cmd_reweave for backward-pass command name

2. ops/config.yaml — for graph thresholds (MOC size limits, orphan thresholds)

If no derivation file exists, use universal terms (notes, MOCs, etc.).

EXECUTE NOW

Target: $ARGUMENTS

Parse the operation from arguments:

• If arguments match a known operation: route to that operation
• If arguments are a natural language question: map to the closest operation (see Interactive Mode)
• If no arguments: enter interactive mode

START NOW. Route to the appropriate operation.

Philosophy

The graph IS the knowledge. This skill makes it visible.

Individual {vocabulary.note_plural} are valuable, but their connections create compound value. /graph reveals the structural properties of those connections — where the graph is dense, where it is sparse, where it is fragile, and where synthesis opportunities hide.

Every operation produces two things: findings (what the analysis reveals) and actions (what to do about it). Never dump raw data. Always interpret results with {vocabulary.note} descriptions and domain context. Always suggest specific next steps.

Operations

/graph health

Full graph health report: density, orphans, dangling links, coverage.

Step 1: Collect raw metrics

# Count total notes (excluding MOCs)
NOTES_DIR="{vocabulary.notes}"
TOTAL=$(ls -1 "$NOTES_DIR"/*.md 2>/dev/null | wc -l | tr -d ' ')
MOC_COUNT=$(grep -rl '^type: moc' "$NOTES_DIR"/*.md 2>/dev/null | wc -l | tr -d ' ')
NOTE_COUNT=$((TOTAL - MOC_COUNT))

# Count all wiki links
LINK_COUNT=$(grep -ohP '\[\[[^\]]+\]\]' "$NOTES_DIR"/*.md 2>/dev/null | wc -l | tr -d ' ')

# Calculate link density
# Density = actual_links / possible_links
# possible_links = N * (N - 1) for directed graph
echo "Density: $LINK_COUNT / ($NOTE_COUNT * ($NOTE_COUNT - 1))"

# Find orphan notes (zero incoming links)
for f in "$NOTES_DIR"/*.md; do
  NAME=$(basename "$f" .md)
  INCOMING=$(grep -rl "\[\[$NAME\]\]" "$NOTES_DIR"/ 2>/dev/null | grep -v "$f" | wc -l | tr -d ' ')
  [[ "$INCOMING" -eq 0 ]] && echo "ORPHAN: $NAME"
done

# Find dangling links (links to non-existent files)
grep -ohP '\[\[([^\]]+)\]\]' "$NOTES_DIR"/*.md 2>/dev/null | sort -u | while read -r link; do
  NAME=$(echo "$link" | sed 's/\[\[//;s/\]\]//')
  [[ ! -f "$NOTES_DIR/$NAME.md" ]] && echo "DANGLING: $NAME"
done

# MOC coverage: % of notes appearing in at least one MOC's Core Ideas
COVERED=0
for f in "$NOTES_DIR"/*.md; do
  NAME=$(basename "$f" .md)
  # Skip MOCs themselves
  grep -q '^type: moc' "$f" 2>/dev/null && continue
  # Check if any MOC links to this note
  if grep -rl '^type: moc' "$NOTES_DIR"/*.md 2>/dev/null | xargs grep -l "\[\[$NAME\]\]" >/dev/null 2>&1; then
    COVERED=$((COVERED + 1))
  fi
done
echo "Coverage: $COVERED / $NOTE_COUNT"

If graph helper scripts exist in ops/scripts/graph/, use them instead of inline analysis:

• ops/scripts/graph/link-density.sh for density metrics
• ops/scripts/graph/orphan-notes.sh for orphan detection
• ops/scripts/graph/dangling-links.sh for dangling link detection

Step 2: Interpret and present

--=={ graph health }==--

  {vocabulary.note_plural}: [N] (plus [M] {vocabulary.topic_map_plural})
  Connections: [N] (avg [X] per {vocabulary.note})
  Graph density: [0.XX]
  {vocabulary.topic_map} coverage: [N]% of {vocabulary.note_plural} appear in at least one {vocabulary.topic_map}

  Orphans ([N]):
    - [[orphan name]] — [description from YAML]
    → Suggestion: Run /{vocabulary.cmd_reflect} to find connections

  Dangling Links ([N]):
    - [[missing name]] — referenced from [[source note]]
    → Suggestion: Create the {vocabulary.note} or remove the link

  {vocabulary.topic_map} Sizes:
    - [[moc name]]: [N] {vocabulary.note_plural} [OK | WARN: approaching split threshold | WARN: consider merging]

  Overall: [HEALTHY | NEEDS ATTENTION | FRAGMENTED]

Density benchmarks:

/graph triangles

Find synthesis opportunities — open triadic closures where A links to B and A links to C, but B does not link to C.

Step 1: Build adjacency data

# For each note, extract outgoing wiki links
for f in "$NOTES_DIR"/*.md; do
  NAME=$(basename "$f" .md)
  LINKS=$(grep -oP '\[\[([^\]]+)\]\]' "$f" 2>/dev/null | sed 's/\[\[//;s/\]\]//' | sort -u)
  echo "FROM:$NAME"
  echo "$LINKS" | while read -r target; do
    [[ -n "$target" ]] && echo "  TO:$target"
  done
done

If ops/scripts/graph/find-triangles.sh exists, use it directly.

Step 2: Find open triangles

For each note A with outgoing links to B and C:

1. Check if B links to C (in either direction)
2. Check if C links to B (in either direction)
3. If neither link exists: this is an open triangle (synthesis opportunity)

Step 3: Evaluate and rank

For each open triangle:

1. Read descriptions of BOTH unlinked {vocabulary.note_plural}
2. Assess: is there a genuine conceptual relationship that the common parent suggests?
3. Rank by potential value: how surprising and useful would the connection be?

Step 4: Present top findings

--=={ graph triangles }==--

  Found [N] synthesis opportunities — pairs of {vocabulary.note_plural} that share
  a common reference but do not reference each other:

  1. [[note B]] and [[note C]]
     Common parent: [[note A]]
     B: "[description]"
     C: "[description]"
     → These may benefit from a connection because [specific reasoning
        about WHY B and C might relate through A's lens]
     → Action: Run /{vocabulary.cmd_reflect} on [[note B]] to evaluate

  2. [[note D]] and [[note E]]
     Common parent: [[note F]]
     ...

  [Show top 10. If more exist: "[N] more triangles found. Show all? (yes/no)"]

Filter out trivial triangles: Skip pairs where:

• Both are in the same {vocabulary.topic_map} (they may already be related through the MOC without direct links)
• One is a {vocabulary.topic_map} itself (MOCs link to everything, triangles with MOCs are noise)
• The descriptions suggest no conceptual overlap

/graph bridges

Identify structurally critical {vocabulary.note_plural} whose removal would disconnect graph regions.

Step 1: Build adjacency list

Build a bidirectional adjacency list from all wiki links in {vocabulary.notes}/.

If ops/scripts/graph/find-bridges.sh exists, use it directly.

Step 2: Find bridge nodes

A bridge note is one where:

• Removing it (and its links) would split a connected component into two or more components
• It is the SOLE connection between clusters of {vocabulary.note_plural}

Implementation: For each note, temporarily remove it and check if the remaining graph has more connected components.

Step 3: Present findings

--=={ graph bridges }==--

  Found [N] bridge {vocabulary.note_plural} — structurally critical nodes whose
  removal would disconnect graph regions:

  1. [[bridge note]] — connects [N] {vocabulary.note_plural} on one side to [M] on the other
     Description: "[description]"
     Cluster A: [[note1]], [[note2]], ...
     Cluster B: [[note3]], [[note4]], ...
     → Risk: If this {vocabulary.note} becomes stale, [N+M] {vocabulary.note_plural}
       lose