"algo-net-centrality"

"algo-net-centrality" is a skill for Claude Code from charlieviettq/awesome-agent-skill. It costs 66 tokens per session (1,311 once invoked), scanned A, a copy of algo-net-centrality, MIT.

A method for measuring which points in a network matter most. A network is a set of connected points, such as people, computers, or roads.

In plain words
What is it for?
Use it to find key influencers, critical infrastructure, central actors, or nodes whose failure could harm a network.
Why use it?
It separates different meanings of “important,” such as having many connections, linking groups, reaching others quickly, or being connected to influential points.

Skill for Claude Code

Written for Claude Code: allowed-tools in frontmatter.

Good fit Use it to find key influencers, critical infrastructure, central actors, or nodes whose failure could harm a network.

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Install with agentmods
npx agentmods add skills/charlieviettq/awesome-agent-skill/algo-net-centrality
Install

Getting it into your agent

One page per mod, every tool's command on it. A separate URL per tool would split the same page into five that compete with each other.

Any agent
npx skills add charlieviettq/awesome-agent-skill --skill algo-net-centrality
Clone the repo
git clone --depth 1 https://github.com/charlieviettq/awesome-agent-skill

Made for: Claude Code.

Wrote this? Show the measurements

A badge with what this costs and how it scanned, read live from this page, so it follows the numbers instead of freezing them. Markdown for a README, HTML for a documentation site or a project page.

agentmods badge for "algo-net-centrality"

README.md
[![agentmods](https://agentmods.dev/badge/skills/charlieviettq/awesome-agent-skill/algo-net-centrality/github.svg)](https://agentmods.dev/skills/charlieviettq/awesome-agent-skill/algo-net-centrality)
Your own site
<a href="https://agentmods.dev/skills/charlieviettq/awesome-agent-skill/algo-net-centrality"><img src="https://agentmods.dev/badge/skills/charlieviettq/awesome-agent-skill/algo-net-centrality/github.svg" alt="Measured on agentmods" height="20"></a>

Or the 80×15 button, for a site that already has a row of RSS and ATOM ones. Only the verdict fits; the numbers stay here.

agentmods 80×15 button for "algo-net-centrality"

Your own site · 80×15
<a href="https://agentmods.dev/skills/charlieviettq/awesome-agent-skill/algo-net-centrality"><img src="https://agentmods.dev/badge/skills/charlieviettq/awesome-agent-skill/algo-net-centrality.svg" alt="Reviewed on agentmods" width="80" height="20"></a>
Per session 66 Skills are progressive disclosure: only the name and description are preloaded; the body loads when the skill is used.
When invoked 1,311 The whole file, excluding the scripts and references it only reads on demand.
Security scan A 0 findings. A grade says what 26 rules found in the file — not that it is safe.
Origin 94% copy Near-identical to another mod in the catalogue.
Token cost

What it costs to keep this loaded

Counted locally with the o200k_base tokenizer, which is exact for GPT models; Claude uses its own tokenizer and its counts differ. Treat this as one consistent yardstick across the catalogue rather than a bill. Prices are per million input tokens.

ModelPer sessionOnce invoked
Fable 5.1 $0.00066 $0.01311
Opus 5 $0.00033 $0.00656
Sonnet 5 $0.00013 $0.00262
Haiku 4.5 $0.00007 $0.00131

Measured 12d ago against content hash 358539bd98d7, method: parsed. Prices are Anthropic first-party input rates as of 2026-09-12, from the pricing page.

Security

Grade A, and why

"algo-net-centrality" scanned grade A with 0 findings against 26 rules in 11 categories — prompt injection, anti-refusal, data exfiltration, privilege escalation, supply chain, agent snooping, system-prompt leakage, SSRF and excessive agency — measured 12d ago.

A static scan of the body, not an audit. Every finding is printed with the line that produced it so you can judge whether it matters here. A mod is markdown that instructs an agent; that is exactly why what it instructs is worth reading.

Nothing flagged

None of the 26 patterns this scan looks for appear in this file: no shell pipes, no recursive deletes, no credential paths, no hidden text, no instruction-override or anti-refusal phrasing, no agent-config snooping. That is not a guarantee, it is the absence of the things that are checkable.

Origin

This is a copy

94% identical to algo-net-centrality — 8 lines differ, which has more behind it and is treated as the original. This page carries a canonical link to it rather than competing with it.

.claude/skills/algo-net-centrality/SKILL.md · 105 lines

How it starts

The opening of the file, as written. The whole thing — 105 lines — stays where its author put it; the contents beside it link to each section on GitHub.

Network Centrality Metrics

Overview

Centrality measures quantify node importance in a network. Four classical metrics: degree (connections), betweenness (bridge role), closeness (proximity), eigenvector (connection quality). Each captures a different aspect of importance. Complexity ranges from O(V+E) for degree to O(V×E) for betweenness.

When to Use

Trigger conditions:

  • Identifying key influencers or critical nodes in social/organizational networks
  • Analyzing network vulnerabilities (which node failure causes most damage)
  • Comparing node importance across different dimensions

When NOT to use:

  • For group/community detection (use community detection algorithms)
  • For information spread modeling (use epidemic models)

Algorithm

IRON LAW: Different Centrality Metrics Answer DIFFERENT Questions
- Degree: Who has the most connections? (popularity)
- Betweenness: Who bridges communities? (brokerage)
- Closeness: Who can reach everyone fastest? (efficiency)
- Eigenvector: Who is connected to important people? (prestige)
Using the WRONG metric answers the WRONG question. Choose based on
what "important" means in your context.

Phase 1: Input Validation

Build network graph from edge list or adjacency matrix. Determine: directed vs undirected, weighted vs unweighted, connected vs disconnected. Gate: Graph is well-formed, largest connected component identified.

Phase 2: Core Algorithm

  1. Degree centrality: C_D(v) = deg(v) / (N-1). O(V+E).
  2. Betweenness centrality: C_B(v) = Σ(σ_st(v) / σ_st) for all s,t pairs. Fraction of shortest paths through v. O(V×E).
  3. Closeness centrality: C_C(v) = (N-1) / Σd(v,u). Inverse of average shortest path. O(V×(V+E)).
  4. Eigenvector centrality: Score proportional to sum of neighbors' scores. Power iteration until convergence. O(k×E).

Phase 3: Verification

Check: centrality values normalized [0,1]. Top nodes by each metric may differ — this is expected and informative. Sanity check top-5 against domain knowledge. Gate: All metrics computed, top nodes make intuitive sense.

Read the full file on GitHub · 105 lines

Files

What ships with it

3 files beside SKILL.md in the same directory: the scripts, references and assets a skill reads on demand. Not counted in the per-session cost; read them before you install if any of them is executable.

Changes

What this file has done since we first saw it

Hashed on every crawl. A supply-chain change to an agent config is a question of when, not whether, so the history is kept rather than the latest state alone.

  1. 12d ago First seen · 105 lines · 66 tokens per session scan A 358539bd98d7

Subscribe to this mod's changes

"algo-net-centrality" is a skill published in the GitHub repository charlieviettq/awesome-agent-skill (25 stars, last pushed 1mo ago), licensed MIT. It adds 66 tokens to every session and 1,311 once invoked, about $0.0003 per session on Opus 5. A static security scan graded it A with 0 findings. It is 94% identical to algo-net-centrality, differing in 8 lines, and is treated as a copy.

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